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A food pantry is making packages. Each package weighs 64 pounds. Each package contains 4 identical bags of rice and a 7-pound bag of beans. Write an equation to represent the situation.

User Oleviolin
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2 Answers

6 votes

Answer: ( . is another way to write a multiplication sign.

X = the amount of pounds each rice bag has.)

7 + 4 . X = 64

Not sure if this is needed but X = 14.25 so if there is a follow up question that asks how many pounds are in each bag of rice the answer would be 14.25.

If you can not use X in the equation another way of writing it would be 7 + 4 . 14.25 = 64

I am not sure which equation your teacher would want because that all depends on the teacher and if there are any further details on the question. So if somewhere on the question it said you have to use a variable you would use the equation with the variable.

Explanation:

1. The question claims that the total of all of the pounds of rice and bean bas equals a total of 64 so that would be the answer to the equation.

2. You now need to make an equation that represents the situation by setting up your equation like this: 7 + 4 . X = 64

How to find X and have an equation with an already solved X.

1 We know that in total each bag has 64 pounds so that means we have to subtract 7 from 64. The difference is 57.

2. We now need to divide 57 by 4 because the rest of the bags have an identical amount of pounds so your answer should be 14.25.

3. Your equation should be set up like this: 7 + 4 . 14.25 = 64

User J Pimmel
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2 votes
64 = 4x + 7 Each bag of rice weighs 14.25 pounds.
User Lakshmanan
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