Question

After mixing two types of candies, the price became $3.40 per lb. The quantity of the first type of candy was 5/12 of the quantity of the second type. If the price of the first type of candy is $4.60 per lb, what is the price per pound of the second type of the candy?

Answer 1

the price per pound of the second type of the candy is 2.9 .

Step-by-step explanation:

Here we have , After mixing two types of candies, the price became $3.40 per lb. The quantity of the first type of candy was 5/12 of the quantity of the second type. If the price of the first type of candy is $4.60 per lb,We need to find what is the price per pound of the second type of the candy . Let's find out:

The quantity of the first type of candy was 5/12 of the quantity of the second type i.e. Quantity of candy A = 5x    quantity of candy B = 12x

We need to calculate the weighted average of the price of candies.

price of mixture = quantity of A (price of A ) + quantity of B (price of B)    

⇒ $3.4(12x+5x)=12x(Price)+5x(4.6)$

⇒ $3.4(17x)=12x(Price)+5x(4.6)$

⇒ $57.8=12(Price)+23$

⇒ $12(Price)=34.8$

⇒ $Price = 2.9$

Therefor , the price per pound of the second type of the candy is 2.9 .