Question

Mrs. Carter owns a shop specializing in obscure blends of tea. She has combined 1 pound of Darjeeling with 4 pounds of Earl Grey, for a 5-pound mixture that is 20% Darjeeling. After tasting it, she decided to change the mixture to 70% Darjeeling. How much Darjeeling does she need to add to bring it up to the 70%?
a- 8 1/3
b- 7 1/3
c- 12 1/2
d- 6

Answer 1

Step-by-step explanation:

Here is how you do this problem:

we start off with the ratio of Darjeeling in the tea as 20% which is 1/5

every time we add (x) amount of Darjeeling, the total weight of the mixture would also increase by (x) amount

this idea can be represented by the expression

1 + x

---------- = 0.7

5 + x

I set this equal to 0.7 because our goal is to get it to 70% = 0.7

solving for x should get you to your answer