Question

decimals and percents
word problem on unit rates associated with ratios of...
answer each part. if necessary, round your answers to the nearest hundredth.
(a) juan bought 21 pounds of sugar for $10.
how many pounds of sugar did he get per dollar?
□ pounds per dollar
(b) it takes 44 pounds of seed to completely plant a 7 - acre field.
how many acres can be planted per pound of seed?
□ acres per pound

Explanation:

Part (a)

Step 1: Identify the ratio

We need to find pounds of sugar per dollar. So we divide the pounds of sugar by the dollars spent.
The formula is $\text{Pounds per dollar} = \frac{\text{Pounds of sugar}}{\text{Dollars spent}}$.
Here, pounds of sugar = 21, dollars spent = 10.

Step 2: Calculate the ratio

Substitute the values into the formula: $\frac{21}{10} = 2.1$ pounds per dollar.

Part (b)

Step 1: Identify the ratio

We need to find acres per pound of seed. So we divide the acres of the field by the pounds of seed.
The formula is $\text{Acres per pound} = \frac{\text{Acres of field}}{\text{Pounds of seed}}$.
Here, acres of field = 7, pounds of seed = 44.

Step 2: Calculate the ratio

Substitute the values into the formula: $\frac{7}{44} \approx 0.16$ (rounded to the nearest hundredth).

Answer:

(a) 2.1 pounds per dollar
(b) 0.16 acres per pound