Question

at one point during the summer, Marsha has read 500 pages of her summer reading assignment, and Jan has read read 460 pages. marsha reads reads 20 pages per week for the reminder of the summer, how many weeks,w,will it take before the girls have read the same number of pages?

Answer 1

500 + 20w = 460 + 30w

Step-by-step explanation:

We will calculate an equation for the number of pages read by each girl.

Marsha has read 500 pages and she reads 20 pages per week. It means that after w weeks, she will read 20 times w plus the 500 initial pages, so:

M = 20w + 500

In the same way, Jan has read 460 pages and she reads 30 pages per week. So, the equation that model the number of pages that she reads after w weeks is:

J = 30w + 460

Now, we need to find w such that M and J would be equal, so, we will formulate the following equation:

M = J

20w + 500 = 30w + 460

500 + 20w = 460 + 30w

Therefore, the answer is:

500 + 20w = 460 + 30w