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tekilochka [14]
3 years ago
10

A shopper purchased 8 t-shirts and 5 pairs pants for $220. The next day, he purchased 5 t-shirts and 1 pair of pants for $112. H

ow much does each t-shirt and each pair of pants cost?
Mathematics
1 answer:
saw5 [17]3 years ago
7 0
You can solve this with an equation:
8x+5y=220                    (x represents cost of t-shirt, y represents cost of pants)
5x+y=112
choose an equation and isolate either x or y
ex.) 5x+y= 112
      -5x      -5x
______________
         y=112-5x     
substitute y into the other equation:

8x+5y=220----> 8x+5(112-5x)=220
Distribute: 8x+560-25x=220
subtract 560 on both sides: 8x-25x=220-560
8x-25x=-340
combine like terms: -17x=-340
Divide -17 on both sides: -17x=-340
                                         ____  ___
                                         -17      -17
x=20 each t shirt costs $20
plug in x into the other equation to find y: 112-5x=y
substitute x: 112-5(20)=y-->112-100=y
each pair of pants costs $12
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