Question

(HELP ASAP PLEASE!!)

Answer 1

Answer:

Shirts = $7

Shorts $17

Step-by-step explanation:

Let:

T - shirts

S - shorts

We can make two equations out of this problem:

4T + 3S = $79

7T + 8S = $185

Through substitution we can solve for one of the unknowns. We make one equation to solve for an unknown

$4T+3S=\ 79\\\\3S = \ 79-4T\\\\S=\dfrac{\ 79-4T}{3}$

We use the formula of S and insert it into the other equation:

$7T+8(\dfrac{\ 79-4T}{3}) = \ 185\\\\7T + \dfrac{\ 632-32T}{3}=\ 185\\\\\dfrac{\ 632-32T}{3}=\ 185-7T\\\\\ 632-32T=3(\ 185-7T)\\\\ 632-32T=\ 555 - 21T\\\\-32T+21T=\ 555-\ 632\\\\-11T=-\ 77\\\\\dfrac{-11T}{11}=\dfrac{-\ 77}{11}\\\\T = \ 7$

Thus T-shirts are $7 each.

Now that we know T, we can use it to solve for the other unknown. You can use it on any of the formulas.

$4T+3S=\ 79\\\\4(\ 7) + 3S = \ 79\\\\\ 28+3S =\ 79\\\\3S=\ 79-\ 28\\\\3S=\ 51\\\\S=\dfrac{\ 51}{3}\\\\S = \ 17$

We know then that Shorts are $17 each.