Added third type of problem to arithmetic word problems.

exercises/arithmetic_word_problems.html

@@ -24,6 +24,15 @@
       <var id="ITEM_2_COST">randRange( 4, 12 )</var>
       <var id="TOTAL_SPENT_ON_1">ITEM_1_COUNT * ITEM_1_COST</var>
       <var id="TOTAL_SPENT">TOTAL_SPENT_ON_1 + ITEM_2_COST</var>
+
+      <!-- vars for type 3 -->
+      <var data-ensure="getFactors( TOTAL_ITEMS_3 ).length > 4"
+	   id="TOTAL_ITEMS_3">randRange( 10, 99 )</var>
+      <var id="ITEMS_3">getNontrivialFactor( TOTAL_ITEMS_3 )</var>
+      <var id="GROUPS_3">TOTAL_ITEMS_3 / ITEMS_3</var>
+      <var data-ensure="NEW_ITEMS_3 !== ITEMS_3"
+	   id="NEW_ITEMS_3">getNontrivialFactor( TOTAL_ITEMS_3 )</var>
+      <var id="NEW_GROUPS_3">TOTAL_ITEMS_3 / NEW_ITEMS_3</var>
     </div>
 
     <div class="problems">
@@ -94,6 +103,32 @@
 	  </p>
 	</div>
       </div>
+
+      <div id="type-3">
+	<p class="question">
+	  When <var>person(1)</var> places <var>plural( ITEMS_3, item(1), itemPlural(1) )</var> in each
+	  <var>group(1)</var> <var>he(1)</var> ends up with <var>plural( GROUPS_3, group(1), groupPlural(1) )</var>.
+	  If <var>he(1)</var> wants <var>plural( NEW_GROUPS_3, group(1), groupPlural(1) )</var>, how many <var>itemPlural(1)</var>
+	  should <var>he(1)</var> put in each <var>group(1)</var>?
+	</p>
+
+	<p class="solution"><var>NEW_ITEMS_3</var></p>
+
+	<div class="hints">
+	  <p class="hint1">
+	    <var>plural( ITEMS_3, item(1), itemPlural(1) )</var> <code>\times</code>
+	    <var>plural( GROUPS_3, group(1), groupPlural(1) )</var> <code>=</code>
+	    <var>plural( TOTAL_ITEMS_3, item(1), itemPlural(1) )</var>.
+	  </p>
+
+	  <p class="hint2">
+	    If we divide the <var>plural( TOTAL_ITEMS_3, item(1), itemPlural(1) )</var> into
+	    <var>plural( NEW_GROUPS_3, group(1), groupPlural(1) )</var>, then we get
+	    <code><var>TOTAL_ITEMS_3</var> \div <var>NEW_GROUPS_3</var> = <var>NEW_ITEMS_3</var></code>
+	    <var>itemPlural(1)</var> per <var>group(1)</var>.
+	  </p>
+	</div>
+      </div>
     </div>
 
     <div class="hints">