Ratios
DIRT
Fractions, Decimals, and Percents
Formulas and Methods
Percent of a Quantity
100

Jorge cuts pieces of celery at a steady pace to make tuna salad.  He cuts for 8 minutes and cuts a total of 76 pieces of celery.  What is the unit rate?

9.5

100

What are the three formulas related to DRT?

D=RxT

R=D/T

T=D/R

100

Convert 0.4 to a fraction and a percent.

40/100 or 2/5 and 40%.

100

A pair of jeans was 30% off the original price.  The sale resulted in a $24 discount.

What method/ formula do I use to solve this problem?

part / whole = percent / 100

100

Store A sells a set for $50 and offers a 30% discount.

Store B sells a set for $30 and offers a 20% discount.

Store C sells a set for $25 and offers a 15% discount.

After calculating the discounted prices, place the stores in order from lowest price to highest price for a set of paintbrushes.

Store C - 21.25

Store B - 24

Store A - 35

200

Jorge cuts pieces of celery at a steady pace to make tuna salad.  He cuts for 8 minutes and cuts a total of 76 pieces of celery.  What is the rate unit?

piece of celery per minute

200

Josh walks 60 miles per hour.  How far does he walk if he is walking for 7 hours

420 miles

200

Convert 4% into a fraction and a decimal.

4/100 or 1/25 and 0.04

200

Jessica can swim swims 56 miles for 7 hours.  How fast is she swimming?

What method/ formula do I use to solve this problem?

R = D / T

200

Jane paid $40 for an item after she received a 20% discount.  Jane's friend says this means the original price of the item is $48.  How do you think Jane's friend arrived at this amount?

Jane's friend took 20% off of the discounted price (the part) rather than off of the original price (the whole). 

300

Jorge cuts pieces of celery at a steady pace to make tuna salad.  He cuts for 8 minutes and cuts a total of 76 pieces of celery.  

If Leslie cuts pieces at a rate that is 3.2 pieces slower than Jorge, how fast was Leslie cutting pieces of celery?

6.3 pieces of celery per minute

300

Susan wants to walk for 3 hours, but can only walk 8 kilometers per hour.  How far can she go?

24 kilometers

300

Convert 400% to a decimal and a fraction.

4 and 400/100 or 4

300

Matthew completed his 5/6 of his work day. What decimal would also describe the portion of the work day that he has finished?

What method/ formula do I use to solve this problem?

double number line, tape diagram, or equivalent fractions

300

A necklace Ms. Sparks wants to buy is $70 but has a discount of 15%.  How much will the necklace be after the discount?

$59.50 (the discount is 10.50)

400

Jordan reads 49 books in 7 weeks.  Jose reads 72 books in 9 weeks.  If they read for 12 weeks at consistent rates, how many more books would Jose read?

Jordan reads 12 books more in 12 weeks than Jose

400

Jessica can swim swims 56 miles for 7 hours.  How fast is she swimming?

8 miles per hour.

400

Convert 531/1000 into a decimal and a percent.

53.1% and 0.531

400

A necklace Ms. Sparks wants to buy is $70 but has a discount of 15%.  How much will the necklace be after the discount?

What method/ formula do I use to solve this problem?

part / whole = percent / 100

400

A pair of jeans was 30% off the original price.  The sale resulted in a $24 discount. What is the original price of the jeans?

$80

500

30% of the students in Ms. Sparks's class love math. The ratio of students who hate math is 10:25. The rest of the students are indifferent to math. What is the ratio of students who hate math to who love math?

40:30 or 4:3. 

500

Katherine needs to go to the store that is 35 miles away and can scooter 70 miles per hour.  How long will it take her to get to the store?

0.5 hours or 30 minutes. 

500

Convert 3/7 to a decimal and a percent (round to the nearest 1000th for decimal and 10th for percent).

0.429 and 42.9%

500

Katherine needs to go to the store that is 35 miles away and can scooter 70 miles per hour.  How long will it take her to get to the store?

T = D / R

500

Matthew completed his 5/6 of his work day. What decimal would also describe the portion of the work day that he has finished?

0.83

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