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

Answer:

490 pounds

Step-by-step 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 $\frac{4.4x+ 5.4y}{x+y} =5.1$

⇒ 0.3y = 0.7x  

⇒ $\frac{x}{y} = \frac{3}{7}$

Now, if the candy store has 210 pounds of Peppermint hard candy, then Cinnamon hard candy  required for making the mix is $\frac{210 \times 7}{3}  =490$ pounds. (Answer)