Math worksheet on finding ratios and unit rates with various word problems and examples.

Let's solve each problem step by step. We are asked to find the ratio and unit rate for each situation.

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What is a Ratio?

A ratio compares two quantities. For example, if there are 75 pints of juice in 5 containers, the ratio is 75:5 or 75/5.

What is a Unit Rate?

A unit rate is a rate where the second quantity is 1. It tells you "how much per one unit." To find it, divide the first quantity by the second.

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Now let’s go through each problem:

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#### 1) 75 pints of juice in 5 containers

- Ratio: 75:5
- Unit rate: $ \frac{75}{5} = 15 $ pints per container
✔ Answer: 15 pints per container

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#### 2) 40 centimeters of snow in 20 hours

- Ratio: 40:20
- Unit rate: $ \frac{40}{20} = 2 $ cm per hour
✔ Answer: 2 centimeters per hour

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#### 3) 32 customers in 4 checkout lanes

- Ratio: 32:4
- Unit rate: $ \frac{32}{4} = 8 $ customers per lane
✔ Answer: 8 customers per lane

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#### 4) 216 cherry pieces in 6 bags of candy

- Ratio: 216:6
- Unit rate: $ \frac{216}{6} = 36 $ pieces per bag
✔ Answer: 36 pieces per bag

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#### 5) 120 dollars for mowing 4 lawns

- Ratio: 120:4
- Unit rate: $ \frac{120}{4} = 30 $ dollars per lawn
✔ Answer: 30 dollars per lawn

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#### 6) 92 dollars for 46 TV channels

- Ratio: 92:46
- Unit rate: $ \frac{92}{46} = 2 $ dollars per channel
✔ Answer: 2 dollars per channel

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#### 7) 488 points for defeating 61 enemies

- Ratio: 488:61
- Unit rate: $ \frac{488}{61} = 8 $ points per enemy
✔ Answer: 8 points per enemy

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#### 8) 70 copies in 7 minutes

- Ratio: 70:7
- Unit rate: $ \frac{70}{7} = 10 $ copies per minute
✔ Answer: 10 copies per minute

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#### 9) 96 customers over 3 days

- Ratio: 96:3
- Unit rate: $ \frac{96}{3} = 32 $ customers per day
✔ Answer: 32 customers per day

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#### 10) 12 pies eaten in 3 minutes

- Ratio: 12:3
- Unit rate: $ \frac{12}{3} = 4 $ pies per minute
✔ Answer: 4 pies per minute

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#### 11) 7 bags with 490 cans

- Ratio: 490:7
- Unit rate: $ \frac{490}{7} = 70 $ cans per bag
✔ Answer: 70 cans per bag

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#### 12) 4 minutes to type 408 words

- Ratio: 408:4
- Unit rate: $ \frac{408}{4} = 102 $ words per minute
✔ Answer: 102 words per minute

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#### 13) 10 hours to drive 660 miles

- Ratio: 660:10
- Unit rate: $ \frac{660}{10} = 66 $ miles per hour
✔ Answer: 66 miles per hour

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#### 14) 6 trays with 30 ice cubes

- Ratio: 30:6
- Unit rate: $ \frac{30}{6} = 5 $ ice cubes per tray
✔ Answer: 5 ice cubes per tray

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#### 15) 6 CDs with 90 songs

- Ratio: 90:6
- Unit rate: $ \frac{90}{6} = 15 $ songs per CD
✔ Answer: 15 songs per CD

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✔ Final Answers (Fill in the blanks):

| # | Unit Rate |
|---|-----------|
| 1 | 15 pints per container |
| 2 | 2 centimeters per hour |
| 3 | 8 customers per lane |
| 4 | 36 pieces per bag |
| 5 | 30 dollars per lawn |
| 6 | 2 dollars per channel |
| 7 | 8 points per enemy |
| 8 | 10 copies per minute |
| 9 | 32 customers per day |
|10 | 4 pies per minute |
|11 | 70 cans per bag |
|12 | 102 words per minute |
|13 | 66 miles per hour |
|14 | 5 ice cubes per tray |
|15 | 15 songs per CD |

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You can now fill these into the "Answers" column on your worksheet.

Let me know if you'd like this formatted as a printable answer key!