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Answer:
shirts are $32 each and hats are $18 each
Step-by-step explanation:
x = shirts
y = hats
2x + 5y = 154
3x + 4y = 168
use either substitution or elimination
x = $32
y = $18
The price of each shirt is $32 while the price of each hat is $18.
let
the price of each shirt = x
the price of each hat = y
Eva's purchase will be
- 2x + 5y = 154
Nicole's purchase will be
- 3x + 4y = 168
Combine the equation to find the price of each shirt and hat.
2x + 5y = 154
3x + 4y = 168
2x = 154 - 5y
x = 77 - 5 / 2 y
3x + 4y = 168
3(77 - 5 / 2 y) + 4y = 168
231 - 15 / 2 y + 4y = 168
168 - 231 = - 7 /2 y
- 63 = - 7 / 2 y
cross multiply
-126 = -7y
y = 18
2x + 5(18) = 154
2x + 90 = 154
2x = 154 - 90
2x = 64
x = 64 / 2
x = 32
Price of each shirt = $32
price of each hat = $18
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