Question

marcy loves to do puzzles. last week, she spent 2 hours putting together a puzzle with 300 pieces. this week, she wants to put together a puzzle with 450 pieces. if she keeps the same pace, how many hours should it take marcy to put the puzzle together this week? hours

Explanation:

Step1: Calculate the rate of puzzle - solving

First, find out how many pieces Marcy can put together per hour last week. The rate $r$ is calculated by dividing the number of pieces by the number of hours. So, $r=\frac{300}{2}=150$ pieces per hour.

Step2: Calculate the time for this week's puzzle

Then, to find the time $t$ it takes to complete a 450 - piece puzzle at the rate of 150 pieces per hour, use the formula $t = \frac{\text{number of pieces}}{\text{rate}}$. So, $t=\frac{450}{150}=3$ hours.

Answer:

3