Question

A candy store makes a hard candy mix using a specific ratio of peppermint hard candy, which costs $4.40 per pound, and cinnamon hard candy, which costs $5.40 per pound. Overall, the mix ends up costing $5.10 per pound. If the candy store has 210 pounds of peppermint hard candy, how many pounds of cinnamon hard candy will be needed to make the mix?

Answer 1

490 pounds

Explanation:

Peppermint hard candy costs $4.40 per pound, and Cinnamon hard candy costs $5.40 per pound.

If we mix the in x : y ratio respectively then the mixture costs $5.10 per pound.

Therefore, we can write
`(4.4x+ 5.4y)/(x+y) =5.1`

⇒ 0.3y = 0.7x

⇒
`(x)/(y) = (3)/(7)`

Now, if the candy store has 210 pounds of Peppermint hard candy, then Cinnamon hard candy required for making the mix is
`(210 * 7)/(3)  =490` pounds. (Answer)