4. Jake cleans his house 3 times in 7 weeks.How many times will he clean his housein 52 weeks?Equation:Unit Rate:Solution:
Accepted Solution
A:
Answer:About 22 timesStep-by-step 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 = [tex]\frac{3}{7}[/tex] times in 1 weekNow, 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:[tex]\frac{3}{7}=\frac{x}{52}[/tex]To solve this, we cross multiply and use basic algebra and solve for x:[tex]\frac{3}{7}=\frac{x}{52}\\7x=3*52\\7x=156\\x=\frac{156}{7}\\x=22.29[/tex]That's 22.29 times in 52 weeks (let's round and say 22 times).