Math word problem please help!

Question

Pete works in a candy shop and needs to make a mixture of jelly beans and chocolate eggs for Easter that will cost $6.50 per pound. Jelly beans cost $5.00 per pound and chocolate eggs are $9.00 per pound. How many pounds of chocolate eggs should Pete mix with 25 pounds of jelly beans to get the desired mixture?

Answer 1

One way is to set up an expression that represents total cost over total pounds and then set this equal to 6.50

 

For example, let c be the pounds of chocolate.

 

Then an expression for the total cost would be:

 

5(25) + 9c         (cost of 25 pounds of jelly beans plus cost of c pounds of chocolate)

 

An expression for the total pounds would be:

 

25 + c                  (total pounds of jelly beans plus c pounds of chocolate)

 

If we divide cost by pounds, this gives us cost per pound, which we can set equal to 6.50

 

5(25) + 9c

-------------   = 6.50

   25 + c

 

Cross-multiply to get:

 

5(25) + 9c = 6.50(25 + c)

 

Can you solve the rest of the problem for c?

 

 

 

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