At a store, Eva bought two shirts and five hats for $154.00. Nicole bought three same shirts and four same hats for $168.00. what is the price of each shirt

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

Nicole's purchase will be

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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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

b. 2 and 4

step-by-step explanation: