At a store, five pairs of jeans and two shirts costs $213, while three pairs of jeans and four shirts costs $195. Find the cost of one shirt.

Respuesta :

The cost of one shirt is $24

Let x represent the cost of jeans and y represent the cost of shirts

5x + 2y= 213......equation 1

5x= 213-2y

x= 213-2y/5

3x + 4y= 195........equation 2

3x= 195-4y

x= 195-4y/3

213-2y/5 = 195-4y/3

cross multiply both sides

3(213-2y)= 5(195-4y)

639- 6y= 975-20y

639-975= -6y-20y

-336= -14y

y= 336/14

y= 24

To calculate the value of y substitute 24 for y in equation 1

5x + 2(24)= 213

5x + 48= 213

5x= 213-48

5x= 165

x= 165/5

x= 33

Hence the cost of one shirt is $24

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