diff --git a/orte/mca/rmaps/base/rmaps_base_support_fns.c b/orte/mca/rmaps/base/rmaps_base_support_fns.c
index e49e161bf6..8b9a3b0bfb 100644
--- a/orte/mca/rmaps/base/rmaps_base_support_fns.c
+++ b/orte/mca/rmaps/base/rmaps_base_support_fns.c
@@ -583,7 +583,7 @@ orte_proc_t* orte_rmaps_base_setup_proc(orte_job_t *jdata,
     proc->node = node;
     node->num_procs++;
     if (node->slots_inuse < node->slots) {
-        node->slots_inuse += orte_rmaps_base.cpus_per_rank;
+        ++node->slots_inuse;
     }
     if (0 > (rc = opal_pointer_array_add(node->procs, (void*)proc))) {
         ORTE_ERROR_LOG(rc);
diff --git a/orte/mca/rmaps/mindist/rmaps_mindist_module.c b/orte/mca/rmaps/mindist/rmaps_mindist_module.c
index 372318e600..1f127374e3 100644
--- a/orte/mca/rmaps/mindist/rmaps_mindist_module.c
+++ b/orte/mca/rmaps/mindist/rmaps_mindist_module.c
@@ -220,7 +220,7 @@ static int mindist_map(orte_job_t *jdata)
                 total_npus = opal_hwloc_base_get_nbobjs_by_type(node->topology, HWLOC_OBJ_CORE, 0, OPAL_HWLOC_AVAILABLE);
             }
             if (bynode) {
-                if (total_npus < num_procs_to_assign * orte_rmaps_base.cpus_per_rank) {
+                if (total_npus < num_procs_to_assign) {
                     /* check if oversubscribing is allowed */
                     if (ORTE_MAPPING_NO_OVERSUBSCRIBE & ORTE_GET_MAPPING_DIRECTIVE(jdata->map->mapping)) {
                         orte_show_help("help-orte-rmaps-base.txt", "orte-rmaps-base:alloc-error",
@@ -262,9 +262,9 @@ static int mindist_map(orte_job_t *jdata)
                     }
                     npus = opal_hwloc_base_get_npus(node->topology, obj);
                     if (bynode) {
-                        required = ((num_procs_to_assign-j) > npus/orte_rmaps_base.cpus_per_rank) ? (npus/orte_rmaps_base.cpus_per_rank) : (num_procs_to_assign-j);
+                        required = ((num_procs_to_assign-j) > npus) ? (npus) : (num_procs_to_assign-j);
                     } else {
-                        required = npus/orte_rmaps_base.cpus_per_rank;
+                        required = npus;
                     }
                     for (k = 0; (k < required) && (nprocs_mapped < app->num_procs); k++) {
                         if (NULL == (proc = orte_rmaps_base_setup_proc(jdata, node, i))) {
@@ -367,7 +367,7 @@ static int mindist_map(orte_job_t *jdata)
                         nprocs_mapped++;
                         k++;
                         orte_set_attribute(&proc->attributes, ORTE_PROC_HWLOC_LOCALE, ORTE_ATTR_LOCAL, obj, OPAL_PTR);
-                        if (k > npus/orte_rmaps_base.cpus_per_rank-1) {
+                        if (k > npus-1) {
                             numa_item = opal_list_get_next(numa_item);
                             if (numa_item == opal_list_get_end(&numa_list)) {
                                 numa_item = opal_list_get_first(&numa_list);
diff --git a/orte/mca/rmaps/round_robin/rmaps_rr.c b/orte/mca/rmaps/round_robin/rmaps_rr.c
index 970e4811ce..863e959e33 100644
--- a/orte/mca/rmaps/round_robin/rmaps_rr.c
+++ b/orte/mca/rmaps/round_robin/rmaps_rr.c
@@ -130,7 +130,7 @@ static int orte_rmaps_rr_map(orte_job_t *jdata)
             /* set the num_procs to equal the number of slots on these
              * mapped nodes, taking into account the number of cpus/rank
              */
-            app->num_procs = num_slots / orte_rmaps_base.cpus_per_rank;
+            app->num_procs = num_slots;
             /* sometimes, we have only one "slot" assigned, but may
              * want more than one cpu/rank - so ensure we always wind
              * up with at least one proc */
diff --git a/orte/mca/rmaps/round_robin/rmaps_rr_mappers.c b/orte/mca/rmaps/round_robin/rmaps_rr_mappers.c
index e7a996e86e..0d9280132e 100644
--- a/orte/mca/rmaps/round_robin/rmaps_rr_mappers.c
+++ b/orte/mca/rmaps/round_robin/rmaps_rr_mappers.c
@@ -56,7 +56,7 @@ int orte_rmaps_rr_byslot(orte_job_t *jdata,
                         ORTE_JOBID_PRINT(jdata->jobid), (int)num_slots, (unsigned long)num_procs);
 
     /* check to see if we can map all the procs */
-    if (num_slots < ((int)app->num_procs * orte_rmaps_base.cpus_per_rank)) {
+    if (num_slots < (int)app->num_procs) {
         if (ORTE_MAPPING_NO_OVERSUBSCRIBE & ORTE_GET_MAPPING_DIRECTIVE(jdata->map->mapping)) {
             orte_show_help("help-orte-rmaps-base.txt", "orte-rmaps-base:alloc-error",
                            true, app->num_procs, app->app);
@@ -85,11 +85,8 @@ int orte_rmaps_rr_byslot(orte_job_t *jdata,
                                 node->name);
             continue;
         }
-        /* assign a number of procs equal to the number of available
-         * slots divided by the number of cpus/rank the user
-         * requested
-         */
-        num_procs_to_assign = (node->slots - node->slots_inuse) / orte_rmaps_base.cpus_per_rank;
+        /* assign a number of procs equal to the number of available slots */
+        num_procs_to_assign = node->slots - node->slots_inuse;
         opal_output_verbose(2, orte_rmaps_base_framework.framework_output,
                             "mca:rmaps:rr:slot assigning %d procs to node %s",
                             (int)num_procs_to_assign, node->name);
@@ -168,7 +165,7 @@ int orte_rmaps_rr_byslot(orte_job_t *jdata,
                 --nxtra_nodes;
             }
         }
-        num_procs_to_assign = ((node->slots - node->slots_inuse)/orte_rmaps_base.cpus_per_rank) + extra_procs_to_assign;
+        num_procs_to_assign = node->slots - node->slots_inuse + extra_procs_to_assign;
         opal_output_verbose(2, orte_rmaps_base_framework.framework_output,
                             "mca:rmaps:rr:slot adding up to %d procs to node %s",
                             num_procs_to_assign, node->name);
@@ -182,7 +179,7 @@ int orte_rmaps_rr_byslot(orte_job_t *jdata,
         /* not all nodes are equal, so only set oversubscribed for
          * this node if it is in that state
          */
-        if (node->slots < ((int)node->num_procs * orte_rmaps_base.cpus_per_rank)) {
+        if (node->slots < (int)node->num_procs) {
             /* flag the node as oversubscribed so that sched-yield gets
              * properly set
              */
@@ -236,7 +233,7 @@ int orte_rmaps_rr_bynode(orte_job_t *jdata,
                         (int)num_slots, (unsigned long)num_procs);
 
     /* quick check to see if we can map all the procs */
-    if (num_slots < ((int)app->num_procs * orte_rmaps_base.cpus_per_rank)) {
+    if (num_slots < (int)app->num_procs) {
         if (ORTE_MAPPING_NO_OVERSUBSCRIBE & ORTE_GET_MAPPING_DIRECTIVE(jdata->map->mapping)) {
             orte_show_help("help-orte-rmaps-base.txt", "orte-rmaps-base:alloc-error",
                            true, app->num_procs, app->app);
@@ -336,8 +333,8 @@ int orte_rmaps_rr_bynode(orte_job_t *jdata,
                     }
                 }
                 /* if slots < avg + extra (adjusted for cpus/proc), then try to take all */
-                if ((node->slots - node->slots_inuse) < ((navg + extra_procs_to_assign) * orte_rmaps_base.cpus_per_rank)) {
-                    num_procs_to_assign = (node->slots - node->slots_inuse)/orte_rmaps_base.cpus_per_rank;
+                if ((node->slots - node->slots_inuse) < (navg + extra_procs_to_assign)) {
+                    num_procs_to_assign = node->slots - node->slots_inuse;
                     /* if we can't take any proc, skip following steps */
                     if (num_procs_to_assign == 0) {
                         continue;
@@ -366,7 +363,7 @@ int orte_rmaps_rr_bynode(orte_job_t *jdata,
             /* not all nodes are equal, so only set oversubscribed for
              * this node if it is in that state
              */
-            if (node->slots < ((int)node->num_procs * orte_rmaps_base.cpus_per_rank)) {
+            if (node->slots < (int)node->num_procs) {
                 /* flag the node as oversubscribed so that sched-yield gets
                  * properly set
                  */
@@ -418,7 +415,7 @@ int orte_rmaps_rr_bynode(orte_job_t *jdata,
             /* not all nodes are equal, so only set oversubscribed for
              * this node if it is in that state
              */
-            if (node->slots < ((int)node->num_procs * orte_rmaps_base.cpus_per_rank)) {
+            if (node->slots < (int)node->num_procs) {
                 /* flag the node as oversubscribed so that sched-yield gets
                  * properly set
                  */
@@ -488,7 +485,7 @@ int orte_rmaps_rr_byobj(orte_job_t *jdata,
                         (int)num_slots, (unsigned long)num_procs);
 
     /* quick check to see if we can map all the procs */
-    if (num_slots < (app->num_procs * orte_rmaps_base.cpus_per_rank)) {
+    if (num_slots < app->num_procs) {
         if (ORTE_MAPPING_NO_OVERSUBSCRIBE & ORTE_GET_MAPPING_DIRECTIVE(jdata->map->mapping)) {
             orte_show_help("help-orte-rmaps-base.txt", "orte-rmaps-base:alloc-error",
                            true, app->num_procs, app->app);
@@ -528,7 +525,7 @@ int orte_rmaps_rr_byobj(orte_job_t *jdata,
                 start = (jdata->bkmark_obj + 1) % nobjs;
             }
             /* compute the number of procs to go on this node */
-            nprocs = (node->slots - node->slots_inuse) / orte_rmaps_base.cpus_per_rank;
+            nprocs = node->slots - node->slots_inuse;
             opal_output_verbose(2, orte_rmaps_base_framework.framework_output,
                                 "mca:rmaps:rr: calculated nprocs %d", nprocs);
             if (nprocs < 1) {
@@ -648,7 +645,7 @@ static int byobj_span(orte_job_t *jdata,
                         (int)num_slots, (unsigned long)num_procs);
 
     /* quick check to see if we can map all the procs */
-    if (num_slots < (int)app->num_procs * orte_rmaps_base.cpus_per_rank) {
+    if (num_slots < (int)app->num_procs) {
         if (ORTE_MAPPING_NO_OVERSUBSCRIBE & ORTE_GET_MAPPING_DIRECTIVE(jdata->map->mapping)) {
             orte_show_help("help-orte-rmaps-base.txt", "orte-rmaps-base:alloc-error",
                            true, app->num_procs, app->app);
@@ -743,7 +740,7 @@ static int byobj_span(orte_job_t *jdata,
         /* not all nodes are equal, so only set oversubscribed for
          * this node if it is in that state
          */
-        if (node->slots < (int)node->num_procs * orte_rmaps_base.cpus_per_rank) {
+        if (node->slots < (int)node->num_procs) {
             /* flag the node as oversubscribed so that sched-yield gets
              * properly set
              */
diff --git a/orte/util/dash_host/dash_host.c b/orte/util/dash_host/dash_host.c
index 61fb2346ad..34415c1231 100644
--- a/orte/util/dash_host/dash_host.c
+++ b/orte/util/dash_host/dash_host.c
@@ -268,9 +268,9 @@ int orte_util_add_dash_host_nodes(opal_list_t *nodes,
                 OPAL_OUTPUT_VERBOSE((1, orte_ras_base_framework.framework_output,
                                      "%s dashhost: found existing node %s on input list - adding slots",
                                      ORTE_NAME_PRINT(ORTE_PROC_MY_NAME), node->name));
-                /* transfer across the number of slots */
-                node->slots += nd->slots;
                 if (ORTE_FLAG_TEST(nd, ORTE_NODE_FLAG_SLOTS_GIVEN)) {
+                    /* transfer across the number of slots */
+                    node->slots = nd->slots;
                     ORTE_FLAG_SET(node, ORTE_NODE_FLAG_SLOTS_GIVEN);
                 }
                 break;