Solving Systems Using Substitution:A shopper purchased 8 shirts and 5 pairs of pants for $220.Next he purchased 5 shirt and 1 pair of pants for $112.How much does ea. shirt and ea. pair of pants cost?

Answer 1

8s + 5p = 220

5s + p = 112

Rewrite the second equation as p in terms of s.

p = 112 - 5s

Substitute this equation for p in the first equation. Then, solve for s.

8s + 5(112 - 5s) = 220

8s + 560 - 25s = 220

-17s = -340

s = 20

Substitute the value you just found for s into the equation you wrote for p.

p = 112 - 5s

p = 112 - 5(20)

p = 112 - 100

p = 12

Each shirt costs $20 and a pair of pants costs $12.