Question

Nora and Lila are reading the same novel for book club Nora is on page 128 and plans to read 8 pages per day until the next club meeting. Lila is on page 100 and plans to read 12 pages per day until the next club meeting.

Answer 1

7

184

Explanation:

First, we write a linear equation for the page number, p, on day, d, for each one:

Nora: p = 8d + 128

Lila: p = 12d + 100

Now we solve the two equations as a system of simultaneous equations.

p = 8d + 128

p = 12d + 100

Since p equals p, then

12d + 100 = 8d + 128

4d = 28

d = 7

It takes 7 days.

Now we substitute 7 for d, and we solve for p.

p = 8d + 128

p = 8(7) + 128 = 56 + 128 = 184

The page number is 184.