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A candle supply store sells votive wax and low-shrink wax. How many pounds of low -shrink wax should be mixed with 8 pounds of votive wax to obtain a blend that sells for $0.98a pound?

Short Answer

Expert verified

The amount of the pound for the low shrink wax will be mixed with the 8 pounds of the votive wax to get the blend which sells for the$0.98 is1023 pounds.

Step by step solution

01

Step 1. Given information.

The low shrink wax is mixed with the 8 pounds of the votive wax to get the bend which sells for$0.98 a pound.

02

Step 2. To find the equation of the problem.

Suppose the amount of the low shrink wax is =x.

The total price of the votive wax is evaluated as:

$0.908=$7.2

The total price of the low shrink wax be $1.0x.

The total price of the blend is:

0.988+x

Now, from the question:

0.90×8+1.04x=0.988+x

03

Step 3. To find the value of the x.

0.90×8+1.04x=0.988+x⇒7.2+1.04x=0.98×8+0.98x⇒1.04x−0.98x=0.98×8−7.2⇒0.06x=0.64⇒x=1023

Hence, the amount of the pound for the low shrink wax will be mixed with the 8 pounds of the votive wax to get the blend which sells for the$0.98 is1023 pounds.

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