This will help you understand proportions in word problems a bit more.

With Percent Proportions, Remember…When you are trying to figure out how to set

up your fractions look at the clues in the question.

€

is

of=%

100

Let’s look at an example…What percent of 35 is 15?

Which number is with the of? Which is with the is?

The 35 is with the of, and the 15 is with the is. So this is how we set up our solution…

€

is

of=%

100

15

35=x

100

Now solve it!

€

15

35=x

10015• 100 = 35x

1500 = 35x

42.9% = x

Try these…14 is 25% of what number?What percent of 137 is 29?

Brandon installed a devices on his dad’s car that guaranteed to increase his gas mileage by 15% He currently gets 22 miles per gallon. How much will the gas mileage increase after installing the device?

Tia received a 6% raise in salary. Before the raise, she was making $52,000 per year. How much more will Tia earn next year?

Gary’s soccer team played 25 games and won 17 of them. What percent did the team win?

Remember with Rate…The units on the top and bottom of the

fraction MUST be different:Example:

When you make proportions, the same unite need to line up. Example:€

miles

hour

€

63miles

2hours=

x

17hours

Here’s an example:During Danielle’s trip across the country, she

traveled 2,884 miles in 7 days. How many miles did she travel in the first day?2,884 miles on 7 days is our first rate so we

need to make that a fraction.

Make sure the unite we know lines up correctly and solve.

€

2,884miles

7days

€

2,884miles

7days=

x

1day

Tyler was offered $5,025 per year for a weekend lifeguarding job at a local pool. How much will he make each month?

Jamie recorded 8 songs onto a CD. The total length of the CD is 49 minutes. How many minutes is one song?