# Bruce bought four packages of cornbread mix that each weighs x pounds. He also bought a package of biscuit mix that weighs pounds more than one package of cornbread mix.

If the total weight of the items that Bruce bought is 31 pounds, what is the weight, in pounds, of each package of cornbread mix? Please help and explain it

## Let's break down the problem step by step.

Let's assume the weight of one package of cornbread mix is x pounds.
The total weight of the four packages of cornbread mix is then 4x pounds.

According to the problem, the package of biscuit mix weighs pounds more than one package of cornbread mix. Therefore, the weight of the biscuit mix is x + pounds.

The total weight of all the items that Bruce bought is 31 pounds, so we can set up an equation:
4x + (x + ) = 31

Now, let's solve the equation:

Combining like terms, we get:
5x + = 31

Subtracting from both sides, we have:
5x = 31 -

Dividing both sides by 5, we get:
x = (31 - )/5

So, the weight of each package of cornbread mix is (31 - )/5 pounds.

To determine the exact weight, we need to know the value of . If the value of is given, substitute it into the equation above to find the weight of each package of cornbread mix.

## Bruce bought four packages of cornbread mix that each weighs x pounds. He also bought a package of biscuit mix that weighs (7/2) pounds more than one package of cornbread mix.

If the total weight of the items that Bruce bought is 31 pounds, what is the weight, in pounds, of each package of cornbread mix? Please help and explain it
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4 x + 1*(7/2) x = 31

8 x + 7 x = 62