Carolines hair is 7 inches long and grows up to 1/5 inch each month. Trinity's hair is 10 inches long and grows about 1/10 inch each month. How many months will it take for Carolines hair to be atleast as long as Trinitys hair? Define the variable.

30 months

Step-by-step explanation:

Let the number of months = x

Carolines hair is 7 inches long and grows up to 1/5 inch each month.

7 + (1/5)x

= 7 + 0.2x

Trinity's hair is 10 inches long and grows about 1/10 inch each month.

10 + (1/10)x

10 + 0.1x

How many months will it take for Carolines hair to be atleast as long as Trinitys hair?

Caroline = Trinity

7 + 0.2x = 10 + 0.1x

0.2x - 0.1x = 10 - 7

0.1x = 3

x = 3/0.1

x = 30 months

Therefore, it will take for 30 months for Caroline's hair to be atleast as long as Trinitys hair