Ratios
Unit Rates
100

You have 500 songs on your iphone. You go through your songs and delete 58. 

Write the ratio of the number of songs deleted to total songs.

58:500 (or 29:250)

100

If 50 tomatoes are needed to make 10 salads, how many tomatoes are needed for 1 salad?

5 tomatoes per salad

200

You have 500 songs on your iphone. You go through your songs and delete 58. 

Write the ratio of the number of songs remaining to songs deleted.

442:58 (or 221:29)

200

A restaurant needs 50 tomatoes to make 10 salads. At that ratio, how many tomatoes are needed for 8 salads?

40 tomatoes

300

The bakery mixes chocolate chip to sugar cookies in a ratio of 2:5. Can this be true if there are 10 chocolate chip and 30 sugar cookies?

No. 10 to 30 simplifies to 1:3, not 2:5.

300

A sprinter runs 100 meters in 25 seconds, and a cyclist bikes 240 meters in 40 seconds. How many meters does each athlete cover in 1 second?

Sprinter = 4m per second

Cyclist = 6m per second

400

In a classroom, the ratio of red pens to blue pens is 4:3, and there are 21 pens in total. How many red pens and how many blue pens are there?

12 red, 9 blue

400

A sprinter runs 100 meters in 25 seconds, and a cyclist bikes 240 meters in 40 seconds. Which athlete is faster?

The cyclist is 2m faster per second.

500

You spend 90 minutes total practicing on a skateboard. The ratio of flip tricks to slides is 7:8. How much time is spent practicing flip tricks and how much time is spent practicing slides?

Flip Tricks = 42 minutes

Slides = 48 minutes

500

Maria bought 8 pounds of potatoes for $4.80. Jacob bought 10 pounds for $6.50. Who paid the higher unit rate?

  • Maria's Unit Rate: $4.80 / 8 =$0.60

  • Jacob's Unit Rate: $6.50 / 10 $0.65

  • Answer: Jacob paid the higher unit rate.

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