The weight of a bag of black beans was 12 pounds. The weight of a bag of green beans was 214 ounces. The beans were mixed and packed into 6 bags. What is the weight of the mixed be... The weight of a bag of black beans was 12 pounds. The weight of a bag of green beans was 214 ounces. The beans were mixed and packed into 6 bags. What is the weight of the mixed beans in each bag in ounces?
Understand the Problem
The question presents a word problem involving the weight of black and green beans. We need to first convert the weight of the black beans from pounds to ounces. Then, we add the weights of both types of beans together to find the total weight. Part (a) asks to find the weight of the mixed beans in each bag after packing them into 6 bags. Part (b) asks to calculate the weight of any beans that were not packed into the bags. Since Part (b) does not make sense, we will ignore it.
Answer
$67.7$ ounces
Answer for screen readers
The weight of the mixed beans in each bag is approximately $67.7$ ounces.
Steps to Solve
- Convert pounds to ounces
Since we want the final answer in ounces, convert the weight of the black beans from pounds to ounces. There are 16 ounces in a pound. $12 \text{ pounds} * 16 \frac{\text{ounces}}{\text{pound}} = 192 \text{ ounces}$
- Calculate the total weight of the beans
Add the weight of the black beans in ounces to the weight of the green beans in ounces. $192 \text{ ounces (black beans)} + 214 \text{ ounces (green beans)} = 406 \text{ ounces}$
- Calculate the weight of the mixed beans in each bag
Divide the total weight of the mixed beans by the number of bags (6).
$\frac{406 \text{ ounces}}{6 \text{ bags}} = 67.666... \text{ ounces per bag}$
Rounding to the nearest tenth, the weight of mixed beans in each bag is approximately 67.7 ounces.
The weight of the mixed beans in each bag is approximately $67.7$ ounces.
More Information
The question asks for the weight of mixed beans in each bag after dividing equally into 6 bags.
Tips
A common mistake is forgetting to convert the pounds to ounces before adding the weights. Also, rounding errors can occur if you don't round to the specified decimal place, in this case, one decimal place.
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