Mai bought 3 pairs of socks and 2 pairs of shoes. A pair of shoes costs one dollar less than 5 times the price of a pair of socks. She spent $56.50. How much does a pair of socks cost and how much does a pair of shoes cost? (use one varible)

Cost of a pair of socks = x = $4.5

Cost of a pair of shoes = y = $21.5

Step-by-step explanation:

Let us represent

Cost of a pair of socks = x

Cost of a pair of shoes = y

Mai bought 3 pairs of socks and 2 pairs of shoes.

She spent $56.50.

Hence:

3x + 2y = 56.50

A pair of shoes costs one dollar less than 5 times the price of a pair of socks.

y = 5x - 1

Hence, we substitute 5x - 1 for y

3x + 2y = 56.50

3x + 2(5x - 1) = 56.5

3x + 10x - 2 = 56.5

13x - 2 = 56.5

13x = 56.5 + 2

13x = 58.5

x = 58.5/13

x = $4.50

Solving for y

y = 5x - 1

y = 5(4.5) - 1

y = 22.5 − 1

y = $ 21.5

Cost of a pair of socks = x = $4.5

Cost of a pair of shoes = y = $21.5

answer: 7

step-by-step explanation:

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.