Q:

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

Accepted Solution

A:
Answer:the price for one shirt is $20the price for one pair of pants is $12Step-by-step 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 that8x + 5y = 220 - - - - - - - - - -1The next day he purchased 5 t shirts and 1 pair of pants for $112. This means that5x + y = 112 - - - - - - - - - - - 2Multiplying equation 1 by 5 and equation 2 by 8, it becomes40x + 25y = 110040x + 8y = 896Subtracting, it becomes17y = 204y = 204/ 17 = 12Substituting y = 12 into equation 2, it becomes5x + 12 = 112 5x = 112 - 12 = 100x = 100/5 = 20