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In a certain clothing store, 3 shirts and 5 ties cost $60, and 2 shirts and 3 ties cost $39. What is the cost of each shirt?

$3.00
$12.00
$15.00

Respuesta :

mollymollmoo99
Let shirts be x and ties be y
3x+5y=$60    Equation 1 (Equation 1 will be denoted by *)
2x+3y=$39    Equation 2 (Equation 2 will be denoted by !)
*x2  6x + 10y = $120
!x3  6x + 9y = $117
*-!  y = 120-117 =3

Ties are $3 each
Substitute this value back into one of the original 2 equations:
3x+5y=$60
3x+(5x3) = 60
3x+15=60
3x=45
x=15

Shirts are $15


shubhamchouhanvrVT

The cost of each shirt is $12 in the clothing store.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Let shirts be x and ties be y.

3x+5y=$60    Equation 1

2x+3y=$39    Equation 2

Solve the two equations by the elimination method.

6x + 10y = $120

6x + 9y = $117

y = 120-117 =3

The cost of ties are $3 each.

Substitute this value back into equation 2.

3x+5y=$60

3x+(5x3) = 60

3x+15=60

3x=45

x=15

Therefore, the cost of each shirt is $12 in the clothing store.

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