Question

When n basketball uniforms are purchased, the cost, C, of each uniform is given by the equation.

C = 40n + 260




If the total cost of the teams uniforms is $860, how many uniforms were purchased? What property of equality is the first step to use when solving this equation?


A.

Addition property of equality; n = 8


B.

Division property of equality; n = 6


C.

Multiplication property of equality; n = 13


D.

Subtraction property of equality; n = 15

Answer 1

D. Subtraction property of equality; n = 15

Explanation:

Given equation that shows the cost of n basketballs uniforms,

C = 40n + 260

According to the question,

Total cost = $ 860,

⇒ 40n + 260 = 860

Using subtraction property of equality, subtract 260 on both sides,

⇒ 40n = 860 - 260

⇒ 40n = 600

Using division property of equality, divide both sides by 40.

⇒ n =
`(600)/(40)` = 15.

Hence, 15 uniforms were purchased.

i.e. Option D is correct.