Question

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

Answer 1

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

Answer 2

Answer:

the price of the shirt is 32

the price of each hat is 18

Step-by-step explanation:

let x represent the shirts

and y for hats

2x+5y=154   ( Eva)

3x+4y=168    (Nicole)

solve by elimination/ subtraction  

multiply first equation by (3 ) : 6x+15y=462

multiply second equation by2: 6x+8y=336

subtract both equations :

6x+15y-6x-8y=462-336

7y= 126

y=126/7=18 ( the price of one hat)

2x+5y=154

2x+5(18)=154

2x=154-90

x=64/2

x=32 ( price of 1 shirt )

xheck :

2(32)+5(18)=154

64+90=154

154=154 (correct)