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Added third type of problem to arithmetic word problems.

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1 parent e381f26 commit c825baf238aacc2e05934acc4158931117605a86 @bradleyt bradleyt committed May 26, 2011
Showing with 35 additions and 0 deletions.
  1. +35 −0 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">

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