Question

In a certain clothing store, 3 shirts and 5 ties cost $60, and 2 shirts and 3 ties cost $39. What is the cost of each shirt? If s = the cost of a shirt and t = the cost of a tie, which system of equations represents the problem? 3s 5t = 60 and 2s 3t = 39 s t = 60 and 5s 8t = 99 3t 5s = 60 and 2t 3s = 39.

Answer 1

3s + 5t = 60 and 2s + 3t = 39

Explanation:

Answer 2

ties cost $3

shirts cost $15

Explanation:

s=shirts

t = ties

3 shirts and 5 ties cost $60:

3s+5t=60

2 shirts and 3 ties cost $39:

2s+3t=39

−2(3s+5t=60)

3(2s+3t=39)

−6s−10t=−120

6s+9t=117

add equations together:

−t = −3

t = 3

so ties cost $3, use either of the original equations to solve the price of shirts:

2s+3⋅(3)=392

s+9=392s=30

s=15

so shirts cost $15