word problem

Question

You have one type of chocolate that sells for $2.00/lb and another type of chocolate that sells for $8.30/lb. You would like to have 18.9 lbs of a chocolate mixture that sells for $4.30/lb. How much of each chocolate will you need to obtain the desired mixture?

You will need

__________lbs of the cheaper chocolate
and

__________lbs of the expensive chocolate.

Answer 1

Hi Kyleigh:

 

We have x pounds of $2 chocolate

and 18.9-x pounds of $8.30 chocolate

The total is 18.9 pounds of $4.30 chocolate

 

2x + 8.3(18.9-x) = 18.9(4.3)

 

Solving for x gives the amount of $2 per pound chocolate.

Then 18.9-x will give the amount of $4.30 per pound chocolate.