Question

Brent knows 10 of his lines and he can

memorize 8 in a week. Marc knows 25 of his
lines and can memorize 5 in a week. How many
weeks (w) will it take Brent to catch up with Marc?
L = 8W + 10
L = 5w + 25
[?] weeks

Answer 1

It will take 5 weeks for Brent to catch up with Marc.

Explanation:

Given that:

Brent knows 10 of his lines and he can memorize 8 in a week.

Marc knows 25 of his lines and can memorize 5 in a week.

L = 8w + 10 Eqn 1

L = 5w + 25 Eqn 2

As the number of lines are same,

Eqn 1 = Eqn 2

8w + 10 = 5w + 25

8w - 5w = 25 - 10

3w = 15

Dividing both sides by 3

`(3w)/(3)=(15)/(3)`

w = 5

Hence,

It will take 5 weeks for Brent to catch up with Marc.