Question
A 40 -pound bale of hay costs \( \$ 12 \). Find the unit rates. How much hay can be purchased for \( \$ 17 \) How much does 1 pound of hay cost?
Ask by Wilson Ingram. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
1 pound of hay costs $0.30, and you can buy approximately 56.67 pounds of hay for $17.
Solution
We start with a 40-pound bale that costs $12. One unit rate is the price per pound.
1. To find the cost per pound:
Cost per pound = Total cost / Total pounds = $12 / 40 = $0.30 per pound.
2. To determine how much hay can be bought for $17:
Since one pound costs $0.30, the number of pounds you can buy is:
Pounds of hay = $17 / $0.30 ≈ 56.67 pounds.
So, 1 pound of hay costs $0.30, and about 56.67 pounds of hay can be purchased for $17.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Bonus Knowledge
To find the unit rate for the bale of hay, you can divide the total cost by the weight. Thus, \( \frac{12}{40} = 0.30 \) means that 1 pound of hay costs \( 30 \) cents. Next, to calculate how much hay can be purchased for \( \$ 17 \), you can set up the equation: \( \text{Weight} = \frac{\text{Cost}}{\text{Cost per pound}} = \frac{17}{0.30} \approx 56.67 \) pounds. So, for \( \$ 17 \), you can buy approximately \( 56.67 \) pounds of hay!
