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A shopper purchased 8 t shirts and 5 pairs of pants for 220. The next day he purchased 5 t shirts and 1 pair of pants. How much does a t shirt and each pair of pants cost

User Kendall
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1 Answer

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Answer:the price for one shirt is $20

the price for one pair of pants is $12

Explanation:

The question is incomplete. The complete question is

A shopper purchased 8 t shirts and 5 pairs of pants for $220. The next day he purchased 5 t shirts and 1 pair of pants for $112. How much does a t shirt and each pair of pants cost.

The solution is

Let x represent the price for one t shirt.

Let y represent the price for one pair of pants.

A shopper purchased 8 t shirts and 5 pairs of pants for $220. This means that

8x + 5y = 220 - - - - - - - - - -1

The next day he purchased 5 t shirts and 1 pair of pants for $112. This means that

5x + y = 112 - - - - - - - - - - - 2

Multiplying equation 1 by 5 and equation 2 by 8, it becomes

40x + 25y = 1100

40x + 8y = 896

Subtracting, it becomes

17y = 204

y = 204/ 17 = 12

Substituting y = 12 into equation 2, it becomes

5x + 12 = 112

5x = 112 - 12 = 100

x = 100/5 = 20

User Carlos Borau
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