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?
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Answers
Given:
price of candy after mixing 2 candies = 3.40 dollars per pound.
quantity of first type of candy = 5/12 quantity of second type
price of second type of candy (B) = 4.60 dollars per pound
To Find:
The price per pound of the second type of candy(P)
Solution:
The question is based on mixtures.
Let P be the price of second type of candy (B)
Let first candy is A second type of candy is B
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 mixture) = quantity of A (price of A ) + quantity of B (price of B)
3.40(17x) = 12x (P) +5x (4.60)
P = 2.9 dollars per pound
The price per pound of second type of candy is 2.9 dollars.
Answer:
$2.90
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)
Therefor , the price per pound of the second type of the candy is 2.9 .