a shopper purchased 8 t-shirts and 5 pair of pants for $220. the next day, he purchased 5 t-shirts and a pair of pants for $112. how much does each t shirt and pair of pants cost

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astrozlizzie713 astrozlizzie713

05-12-2016
Mathematics

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a shopper purchased 8 t-shirts and 5 pair of pants for $220. the next day, he purchased 5 t-shirts and a pair of pants for $112. how much does each t shirt and pair of pants cost

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Aliwohaish12 Aliwohaish12 · Answer 1 · 2016-12-05T18:56:14+01:00

1. Let t represent t-shirts and p represent pants. 8t + 5p = 220 5t + 1p = 112 Subtract 5t from both sides of the second equation to isolate the p. p = 112 - 5t Now, substitute the p in the first equation with this. 8t + 5(112 - 5t) = 220 8t + 560 - 25t = 220 -17t + 560 = 220 -17t = -340 t = 20 So, one t-shirt = $20. Now plug 20 in for t in one equation and solve for p. 5(20) + 1p = 112 100 + p = 112 p = 12 One shirt costs $20 and 1 pair of pants costs $12.