Question

use factor puzzles to solve these proportion problems. diana and walter are twins who both do these activities for the same amount of time but at their own constant rates. 1 a. diana read 15 pages and walter read 35 pages. how many pages had diana read when walter had read 14 pages? pages b. fill in the ratio table and circle the rows that make the factor puzzle.

Explanation:

Step1: Set up the proportion

Since their rates are constant, the ratio of Diana's pages to Walter's pages is the same. Let $x$ be the number of pages Diana read when Walter read 14 pages. The ratio of Diana's pages to Walter's pages initially is $\frac{15}{35}=\frac{3}{7}$. So we set up the proportion $\frac{x}{14}=\frac{3}{7}$.

Step2: Solve the proportion

Cross - multiply: $7x = 14\times3$. Then $7x=42$. Divide both sides by 7: $x=\frac{42}{7}=6$.

Answer:

a. 6
b. (No ratio table is provided in the response to fill in as the problem didn't give the table details. But for part a, the key was setting up and solving the proportion.)