A food pantry is making packages. Each package weighs 64 pounds. Each package contains 4 boxes. Each box contains a 7-pound bag of beans and a bag of rice. The bags of rice are all identical.
write an equation that accurately represents this situation.

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Answer:

each individual bag of rice weighs 9-pounds.

Step-by-step explanation:

Based on this information we would need to create an equation for the weight of each individual bag of rice. We are told that a 64lb package contains 4 boxes so...

64 lbs. = 4 boxes

Each box contains a 7-pound bag of beans and 1 bag of rice. Since we are told how much the bag of beans weighs we can multiply this by the number of boxes to calculate its total weight from the package...

7 lb. * 4 = 28 lbs.

Now we know that the bags of beans in the package weights 28 pounds. We now subtract this from the total weight of the package to find the total weight of the bags of rice in the package.

64 lbs. - 28 lbs = 38 lbs.

We can see now that the 4 bags of rice in the package weighs a total of 28 pounds. Therefore, we can divide that total by 4 to calculate the weight of each individual bag of rice...

28 lbs. / 4 = 9 lbs.

Finally, we can see that each individual bag of rice weighs 9-pounds.

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