Rates and Unit Rates Worksheets with Word Problems - Free Printable

Here are the step-by-step solutions for each problem on the worksheet.

1) Jack's and Mo's Orchards
To find out who has the higher yield, we need to calculate how many pounds of oranges each tree produced (pounds per tree).

* Jack: He harvested 450 lb from 6 trees.
$$450 \div 6 = 75$$
Jack’s trees produce 75 lb per tree.

* Mo: She harvested 1,215 lb from 15 trees.
$$1,215 \div 15 = 81$$
Mo’s trees produce 81 lb per tree.

Since 81 is greater than 75, Mo’s orchard has the higher yield.

2) Zoe's Mixed Nuts
We need to find the price per ounce for each can to see which is cheaper.

* 15.25 oz can: The price is $\$7.93$.
$$7.93 \div 15.25 \approx \$0.52$$ per ounce.

* 25 oz can: The price is $\$11.75$.
$$11.75 \div 25 = \$0.47$$ per ounce.

The 25 oz can costs less per ounce ($\$0.47$ vs $\$0.52$), so it is the better deal.

3) Kathleen's Bouquets
We need to find the number of flowers per bouquet for each type.

* Rose bouquets: 95 rose stems divided into 5 bouquets.
$$95 \div 5 = 19$$ roses per bouquet.

* Tulip bouquets: 63 tulips divided into 3 bouquets.
$$63 \div 3 = 21$$ tulips per bouquet.

Comparing the two, 19 is less than 21. Therefore, the rose bouquet was designed with the lesser number of flowers.

4) Track Cycling Race
We need to calculate the speed (distance per minute) for each person.

* Andre: 750 m in 4 minutes.
$$750 \div 4 = 187.5$$ meters per minute.

* Rick: 800 m in 4 minutes.
$$800 \div 4 = 200$$ meters per minute.

* Ty: 950 m in 5 minutes.
$$950 \div 5 = 190$$ meters per minute.

Comparing the speeds: Andre (187.5), Rick (200), and Ty (190). Andre has the lowest number, so he covered the least distance per minute.

5) Sam's Jeans
We need to find the price per pair of jeans at each store.

* Store A: $\$120$ for 3 pairs.
$$120 \div 3 = \$40$$ per pair.

* Store B: $\$100$ for 2 pairs.
$$100 \div 2 = \$50$$ per pair.

* Store C: $\$99$ for 3 pairs.
$$99 \div 3 = \$33$$ per pair.

Comparing the prices ($\$40$, $\$50$, and $\$33$), Store C offers the lowest price per pair.

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Final Answer:
1) Mo's orchard
2) The 25 oz can
3) Rose bouquet
4) Andre
5) Store C