Question

Tavon has a gift card for $95 that loses $2 for each​ 30-day period it is not used. He has another gift card for $75 that loses $1.50 for each​ 30-day period it is not used. Write and solve an equation for the number of​ 30-day periods until the value of the gift cards will be equal.

Answer 1

the number of​ 30-day periods until the value of the gift cards will be equal is 40

Explanation:

Let

x = each 30-day period

Tavon has a gift card for $95 that loses $2 for each​ 30-day period it is not used.

95 - 2x

He has another gift card for $75 that loses $1.50 for each​ 30-day period it is not used

75 - 1.50x

Equate both expression for the number of​ 30-day periods until the value of the gift cards will be equal.

95 - 2x = 75 - 1.50x

95 - 75 = -1.50x + 2x

20 = 0.50x

x = 20/0.50

= 40

x = 40