Question
Fifeen pounds of beans are distributed equally into 12 How many pounds of beans are in each bag? Enter your answer in the simplest form. There are
Ask by Bates Gough. in the United States
Mar 17,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Each bag contains \( \frac{5}{4} \) pounds of beans.
Solution
To find out how many pounds of beans are in each bag when 15 pounds of beans are distributed equally into 12 bags, we can set up the problem as follows:
1. **Known Conditions:**
- Total weight of beans: \( 15 \) pounds
- Number of bags: \( 12 \)
2. **Calculation:**
We need to divide the total weight of beans by the number of bags to find the weight of beans in each bag.
\[
\text{Weight per bag} = \frac{\text{Total weight}}{\text{Number of bags}} = \frac{15}{12}
\]
3. **Simplifying the Fraction:**
We can simplify \( \frac{15}{12} \) by finding the greatest common divisor (GCD) of 15 and 12, which is 3.
\[
\frac{15 \div 3}{12 \div 3} = \frac{5}{4}
\]
Thus, the weight of beans in each bag is \( \frac{5}{4} \) pounds.
Therefore, the final answer is:
\[
\frac{5}{4} \text{ pounds}
\]
Answered by UpStudy AI and reviewed by a Professional Tutor
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Mind Expander
To find out how many pounds of beans are in each bag, you would divide 15 pounds by 12 bags. So, 15 ÷ 12 gives you 1.25 pounds of beans per bag. This can also be expressed as 1⅓ pounds when simplified to a fraction! This problem is a great example of basic division in everyday life. Picture yourself at a barbecue, dividing up a colossal bag of beans to ensure everyone gets their fair share. Understanding how to work with fractions and decimals can make those communal meals a lot smoother and more fun!