Question

Aiden read 5 pages for every 3 pages that Mark read. If Mark read 14 fewer pages than Aiden, how many pages did Aiden read?

Answer 1

Mark read 21 pages, and since Aiden read 14 more pages than Mark, Aiden read 35 pages in total.

Step-by-step explanation:

To answer the question about how many pages Aiden read, we need to set up a ratio based on the given information. Aiden reads 5 pages for every 3 pages that Mark reads. If Mark read 14 fewer pages than Aiden, we can set up the following equation:

Let the number of pages Aiden read be A and the number of pages Mark read be M. According to the ratio, A = (5/3)M. We also know that A = M + 14. Substituting the first equation into the second, we get:

(5/3)M = M + 14

Multiplying both sides of the equation by 3 to eliminate the fraction yields:

5M = 3M + 42

Subtracting 3M from both sides gives:

2M = 42

Dividing both sides by 2, we find:

M = 21

Now that we know Mark read 21 pages, we can find out how many Aiden read by adding 14 to Mark's total:

A = M + 14 = 21 + 14 = 35

Aiden read 35 pages.