61.6k views
5 votes
jessica made $234 for 13 hours of work. At the same rate, how many hours would she have to work to make $162?

User Armonge
by
4.9k points

2 Answers

5 votes

Answer:

9 hours

Explanation:

Step One: A rate is the same thing as ratio. This just means that there is a proportion. For example, for every 3 dogs, there are 4 cats. This would mean that for 6 dogs there are 8 cats, and so on.

Step Two: Okay, because these numbers are larger, it is easiest to scale it back to one. The proportion or rate given is $234/13 hours. We would divide by 13 to get it to 1: $18/1 hour. The proportion is usually a decimal, but these numbers happen to divide nicely.

Step Three: Now, we can do 162/18 to see what the scale is, or how much times larger it is: 162/18=9.

Step Four: Lastly, just do 1 times 9, which tells it is 9 hours. To check the work, make sure 9 is less than the original proportion; it should take less time to make less money. 9 is less than 13, so this is the answer!

User Brandwaffle
by
5.7k points
2 votes

Answer: 9 hours

We would get:

1 hour of work = $18

162 divided by 18 = 9

So she would have to work 9 hours

User Eric Rini
by
4.7k points