Question

4. Jake cleans his house 3 times in 7 weeks.

How many times will he clean his house
in 52 weeks?
Equation:
Unit Rate:
Solution:
​

Answer 1

About 22 times

Explanation:

Unit Rate means the number of times Jake cleans his house PER WEEK.

Since he clean his house only 3 times per 7 weeks, we will have a number less than 1 (per week). To get unit rate, we divide the number of times (3) with the number of weeks (7). Thus:

Unit Rate =
`(3)/(7)` times in 1 week

Now, we can set up a ratio (2 fractions), equate them and solve for the unknown [let times he clean his house in 52 weeks be x]. Shown below:

`(3)/(7)=(x)/(52)`

To solve this, we cross multiply and use basic algebra and solve for x:

`(3)/(7)=(x)/(52)\\7x=3*52\\7x=156\\x=(156)/(7)\\x=22.29`

That's 22.29 times in 52 weeks (let's round and say 22 times).