Maths formulas

Quek

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Glenn bought 7 pairs of shirts and 4 pairs of shoes at $552.00 Each pair of shoes cost 4 times more than a shirt. What is the cost of a pair of shoes?
 
 
Glenn bought 7 pairs of shirts and 4 pairs of shoes at $552.00 Each pair of shoes cost 4 times more than a shirt. What is the cost of a pair of shoes?
Hi, Quek.

Would you like to use algebra, or some other method? (You put this under Arithmetic.) If algebra, would you like to use one or two variables?

Please make a start and show us your work, so we can help you along; or if you have no idea at all, tell us what you have learned that might be useful, as well as where the problem came from (so we can see how it is connected to what you have learned).
 
If instead of shoes Glenn bought shirts, then in total how many shirts would Glenn have purchased for the same $552?
 
I am a bit concerned that you titled this "Math Formulas". There are no "formulas" that will help here, just basic arithmetic and thinking!
 
Did the problem actually say "pairs of shirts"? That seems a strange way to sell (or buy) shirts! And it does affect the answer since the problem also says that "Each pair of shoes cost 4 times more than a shirt," NOT a "pair of shirts". Also "4 times more than a shirt"s, strictly speaking, means 5 times as much as a shirt, not 4 times as much- but is often used incorrectly.
 
Did the problem actually say "pairs of shirts"? That seems a strange way to sell (or buy) shirts! And it does affect the answer since the problem also says that "Each pair of shoes cost 4 times more than a shirt," NOT a "pair of shirts". Also "4 times more than a shirt"s, strictly speaking, means 5 times as much as a shirt, not 4 times as much- but is often used incorrectly.
In India, we used to complain - why is it a pair trousers and not a pair of shirts (shirt generally have two sleeves)!

Anyway, the IP address of the student is pegged at Singapore - for whatever its worth!
 
Getting back to the original problem (its two weeks old now)
"Glenn bought 7 pairs of shirts and 4 pairs of shoes at $552.00 Each pair of shoes cost 4 times more than a shirt. What is the cost of a pair of shoes?"

I could interpret this in four different ways and get four different answers!

If Glenn actually bought 7 PAIRS of shirts (so 14 shirts) and 4 pairs of shoes, and each pair of shoes cost 4 times as much as a shirt, taking P to be the cost of a shirt then 4 pairs of shoes and 14 shirts cost 4(4P)+ 14P= 16P+ 14P= 30P= $552. So a shirt cost P= 552/30= $18.40. A pair of shoes cost 4(18.40)= $73.60.

If Glenn bought 7 shirts (rather than 7 pairs of shirts) and 4 pairs of shoes, and each pair of shoes cost 4 times as much as a shirt, taking P to be the cost of a shirt then 4 pairs of shoes and 7 shirts cost 7P+ 4(4P)= 7P+ 16P= 23P= $552. So a shirt cost P= 552/23= $24. A pair of shoes cost 4(24)= $96.

If Glenn actually bought 7 PAIRS of shirts (so 14 shirts) and 4 pairs of shoes, and each pair of shoes cost 5 times as much as a shirt (4 times more), taking P to be the cost of a shirt then 4 pairs of shoes and 14 shirts cost 4(5P)+ 14P= 20P+ 14P= 54P= $552. So a shirt cost P= 552/54= $10.22. A pair of shoes cost 4(10.22)= $40.88.

If Glenn bought 7 shirts (rather than 7 pairs of shirts and 4 pairs of shoes, and each pair of shoes cost 5 times as much as a shirt, taking P to be the cost of a shirt then 4 pairs of shoes and 7 shirts cost 7P+ 4(5P)= 7P+ 20P= 27P= $552. So a shirt cost P= 552/27= $20.44. A pair of shoes cost 4(20.44)= $80.88.

Take your pick!
 
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