<PRE><B>Question 1153552</B>
&lt;br&gt;
The problem asks what the maximum list price of the computer can be if it costs $1500 after a discount of 18%.&lt;br&gt;
{{{x - 0.18x &lt;= 1500}}}
{{{0.82x &lt;= 1500}}}
{{{x &lt;= 1500/0.82}}} = $1829 to the nearest dollar&lt;br&gt;
If she pays with a card so that the discount is only 15%, then....&lt;br&gt;
{{{0.85x &lt;= 1500}}}
{{{x &lt;= 1500/0.85}}} = $1765 to the nearest dollar&lt;br&gt;
The difference between those two is $64.&lt;br&gt;
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NOTE: I interpret &quot;a further 3 percent discount if she pays cash&quot; to mean that the total discount is 15%+3% = 18%.&lt;br&gt;
A different possible interpretation is that the 3% discount is on the price that has already been discounted by 15%.&lt;br&gt;
With that interpretation, the total discount is 17.55% instead of 18% -- leading of course to slightly different answers to both questions.&lt;br&gt;
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