chocolate problem

Question

The Divine Chocolate store want to create a new truffle mix that consists of milk chocolate and hazelnut. If hazelnuts sell for $9 per pound and milk chocolate sells for $3 per pound, how pounds of each should they mix together to create a 12-pound box that sells for $8 per pound?

Answer 1

Good morning Jorjana,

 

We need an equation that multiplies the price of the ingredient times the amount  and add these to give the same for the mixture.

 

x = pounds of hazelnuts

 

12-x = pounds of milk chocolate

 

(9)(x) + (3)(12-x) = (8)(12)

 

9x + 36 - 3x = 96

 

6x + 36 = 96

 

6x = 60

 

x = 10

 

10 pounds of hazelnuts

 

2 pounds of chocolate