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%?

Answer 1

Hi @Regina333 ! Sorry for the late response :(

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 ^_^

I hope I was able to help :)
if you don't understand something that I explained, feel free to tag me!

Answer 2

Thanks

Answer 3

@sleepyhead314