Question 1196089
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Whether formally using algebra or informally using logical reasoning, I would reduce the amount of effort required to solve the problem by adding a penny to the cost of each pair of sneakers, making 60 $99 high-tops and $130 low-tops for a total of $6,405.<br>
(1) Formal algebra....<br>
x = # of high-tops
60-x=# of low-tops<br>
The total cost was $6405:<br>
{{{99(x)+130(60-x)=6405}}}
{{{99x+7800-130x=6405}}}
{{{1395=31x}}}
{{{x=1395/31=45}}}<br>
ANSWER: 45 high-top and 15 low-top pairs were sold<br>
(2) Informally....<br>
If all 60 pairs had been high-tops, the total sales would have been 60($99)=$5940.
The actual sales total was $6405-$5940=$465 more.
The difference in price between the high-top and low-top is $31; so the number of low-top pairs sold was $465/$31 = 15.<br>
ANSWER: 15 low-top pairs and 45 high-top pairs were sold.<br>