SOLUTION: . A store clerk sold 60 pairs of sneakers. The high-tops sold for $98.99 and the low-tops sold for $129.99. If the receipts for the two types of sales totaled $6,404.40, how many o

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: . A store clerk sold 60 pairs of sneakers. The high-tops sold for $98.99 and the low-tops sold for $129.99. If the receipts for the two types of sales totaled $6,404.40, how many o      Log On


   

Question 1196089: . A store clerk sold 60 pairs of sneakers. The high-tops sold for $98.99 and the low-tops sold for $129.99. If the receipts for the two types of sales totaled $6,404.40, how many of each type of sneaker were sold?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
h at $129.99 per pair
60-h at $98.99 per pair

98.99%2860-h%29%2B129.99h=6404.40
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Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


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.

(1) Formal algebra....

x = # of high-tops
60-x=# of low-tops

The total cost was $6405:

99%28x%29%2B130%2860-x%29=6405
99x%2B7800-130x=6405
1395=31x
x=1395%2F31=45

ANSWER: 45 high-top and 15 low-top pairs were sold

(2) Informally....

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.

ANSWER: 15 low-top pairs and 45 high-top pairs were sold.