Math worksheet for practicing unit rates and determining better buys through various real-world scenarios.

Let's solve each problem step by step, starting with finding the unit rates and then determining which is the better buy in the comparison questions.

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Part 1: Finding Unit Rates

We'll divide the total quantity by the number of units to find the rate per one unit. Round to the nearest hundredth (two decimal places).

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1. Type 800 words in 12 minutes → words per minute

$$
\frac{800}{12} = 66.666... \approx \boxed{66.67} \text{ words per minute}
$$

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2. 192 students in 4 buses → students per bus

$$
\frac{192}{4} = \boxed{48} \text{ students per bus}
$$

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3. 357 miles in 5 hours → miles per hour

$$
\frac{357}{5} = 71.4 \approx \boxed{71.40} \text{ miles per hour}
$$

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4. 8 ducks for $23.60 → dollars per duck

$$
\frac{23.60}{8} = 2.95 \approx \boxed{2.95} \text{ dollars per duck}
$$

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5. A 10-lb bag of cherries for $33.49 → dollars per pound

$$
\frac{33.49}{10} = \boxed{3.35} \text{ dollars per lb}
$$

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6. 12 chickens lay 30 eggs → eggs per chicken

$$
\frac{30}{12} = 2.5 \approx \boxed{2.50} \text{ eggs per chicken}
$$

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7. Earn $134 in 8 hours → dollars per hour

$$
\frac{134}{8} = 16.75 \approx \boxed{16.75} \text{ dollars per hour}
$$

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8. 3 pizzas for $19.99 → dollars per pizza

$$
\frac{19.99}{3} = 6.663... \approx \boxed{6.66} \text{ dollars each}
$$

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9. 3500 calories for 6 servings → calories per serving

$$
\frac{3500}{6} = 583.333... \approx \boxed{583.33} \text{ calories per serving}
$$

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10. 351 chairs in 27 rows → chairs per row

$$
\frac{351}{27} = 13 \approx \boxed{13.00} \text{ chairs per row}
$$

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11. $37.29 for 2 pairs of jeans → dollars per pair

$$
\frac{37.29}{2} = 18.645 \approx \boxed{18.65} \text{ dollars each}
$$

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12. $37.29 for 2 pairs of ducks → dollars per duck

Wait — "pairs of ducks" means 2 ducks per pair.

So, 2 pairs = 4 ducks.

$$
\frac{37.29}{4} = 9.3225 \approx \boxed{9.32} \text{ dollars per duck}
$$

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13. 24 senior citizens in 12 RVs → people per RV

$$
\frac{24}{12} = \boxed{2.00} \text{ people per RV}
$$

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14. 7 penguins for $188.88 → dollars per penguin

$$
\frac{188.88}{7} = 26.9828... \approx \boxed{26.98} \text{ dollars each}
$$

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✔ Part 1 Answers:

| Problem | Answer |
|--------|--------|
| 1 | 66.67 words/min |
| 2 | 48 students/bus |
| 3 | 71.40 mph |
| 4 | $2.95/duck |
| 5 | $3.35/lb |
| 6 | 2.50 eggs/chicken |
| 7 | $16.75/hr |
| 8 | $6.66/pizza |
| 9 | 583.33 cal/serving |
| 10 | 13.00 chairs/row |
| 11 | $18.65/pair |
| 12 | $9.32/duck |
| 13 | 2.00 people/RV |
| 14 | $26.98/penguin |

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Part 2: Which is the Better Buy?

We compare unit prices (cost per unit) and choose the lower cost per unit.

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15. 12.5 oz bag of Doritos for $3.79 or 3 oz bag for $1.00

- First: $3.79 / 12.5 oz = $0.3032 per oz ≈ $0.30/oz
- Second: $1.00 / 3 oz = $0.3333 per oz ≈ $0.33/oz

✔ Better buy: 12.5 oz for $3.79 (cheaper per ounce)

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16. 12 bars of soap for $10.00 or 5 bars for $4.00

- First: $10 / 12 = $0.833... ≈ $0.83/bar
- Second: $4 / 5 = $0.80/bar

✔ Better buy: 5 bars for $4.00 ($0.80 < $0.83)

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17. Box of 84 penguins for $13,597 or bag of 50 for $795.95

- First: $13,597 / 84 = $161.869... ≈ $161.87/penguin
- Second: $795.95 / 50 = $15.919 ≈ $15.92/penguin

✔ Better buy: Bag of 50 for $795.95 (much cheaper per penguin)

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18. 5 gallon bucket for $97.45 or 1 gallon for $21.95

- First: $97.45 / 5 = $19.49 per gallon
- Second: $21.95 per gallon

✔ Better buy: 5-gallon bucket for $97.45 ($19.49 < $21.95)

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19. 48oz big gulp for $1.39 or 32oz coke for $0.89

- First: $1.39 / 48 oz = $0.028958 ≈ $0.029/oz
- Second: $0.89 / 32 oz = $0.0278125 ≈ $0.028/oz

→ $0.028 < $0.029 → second is cheaper

✔ Better buy: 32oz coke for $0.89

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20. 50 head of cattle for $24,500 or 37 head for $18,870

- First: $24,500 / 50 = $490 per head
- Second: $18,870 / 37 = $510 per head

✔ Better buy: 50 head for $24,500 ($490 < $510)

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✔ Part 2 Answers:

| Problem | Better Buy |
|--------|------------|
| 15 | 12.5 oz bag for $3.79 |
| 16 | 5 bars for $4.00 |
| 17 | Bag of 50 penguins for $795.95 |
| 18 | 5-gallon bucket for $97.45 |
| 19 | 32 oz coke for $0.89 |
| 20 | 50 head of cattle for $24,500 |

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✔ Final Answer Summary:

#### Unit Rates:
1. 66.67
2. 48.00
3. 71.40
4. 2.95
5. 3.35
6. 2.50
7. 16.75
8. 6.66
9. 583.33
10. 13.00
11. 18.65
12. 9.32
13. 2.00
14. 26.98

#### Better Buys:
15. 12.5 oz bag
16. 5 bars for $4.00
17. Bag of 50 penguins
18. 5-gallon bucket
19. 32 oz coke
20. 50 head of cattle

Let me know if you'd like this formatted as a completed worksheet!