# How much candy at $1.16 a pound should be mixed with candy worth 86¢ a pound in order to obtain a mixture of 60 pounds of candy worth a dollar a pound?

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How much candy at $1.16 a pound should be mixed with candy worth 86¢ a pound in order to obtain a mixture of 60 pounds of candy worth a dollar a pound?

I don't even know where to begin on this one.

How much candy at $1.16 a pound should be mixed with candy worth 86¢ a pound in order to obtain a mixture of 60 pounds of candy worth a dollar a pound?

I don't even know where to begin on this one.

##### 1 Answer

28 pounds of the candy costing $1.16 and 32 pounds of the candy costing $0.86.

#### Explanation:

We have two types of candy. Let

We want to end up with 60 pounds of candy so we know that:

Equation (1):

We know that we want the average cost to be $1 per pound. To get the average cost we need to know the total cost and divide by the total pounds.

Total cost: 1.16x + 0.86y

Total pounds: 60

Average cost we want: 1

So,

We can rearrange that to get a second equation:

Equation (2):

multiply equation (1) by

Equation (3):

Add equation (2) and equation (3), the

divide through by 0.3:

Substitute into equation (1):

So we want 28 pounds of the candy costing $1.16 and 32 pounds of the candy costing $0.86.