Applications in 1.2

Question

Sweet Delight Candies sells boxes of candy consisting of creams and caramels. Each box sells for $8.00 and holds 50 pieces of candy (all pieces are the same size). If the caramels cost $0.10 to produce and the creams cost $0.20 to produce, how many caramels and creams should be in each box for no profit or loss? Would you increase or decrease the number of caramels in order to obtain profit?

Answer 1

x = number of caramels in the box.

 

50 - x = number of creams in the box.

 

cost of caramels plus cost of creams needs to equal 8.00 for no profit or loss, so .10x + .20(50 - x) = 8.00.

 

multiply both sides by 10 to get rid of all decimals  x + 100 -2x = 80

 

-x + 100 = 80

 

-x = -20

 

x = 20    So 20 caramels and 50 - x or 30 creams.

 

And if caramels cost less to make than creams, do you think you would need more or less of them to make a profit?