SOLUTION: mom made 2 batches of iced tea. 1st batch was 6% sugar and was too sweet, the 2nd batch was 3% sugar and was not sweet enough. how many cups should she take from each batch to make

Question 621229: mom made 2 batches of iced tea. 1st batch was 6% sugar and was too sweet, the 2nd batch was 3% sugar and was not sweet enough. how many cups should she take from each batch to make 9 cups of iced tea containing 4% sugar?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of cups of 6% tea needed
Let = number of cups of 3% tea needed
= cups of sugar in 6% tea
= cups of sugar in 3% tea
-----------
(1)
(2)
-------------------------
(2)
(2)
(2)
Subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
3 cups of 6% tea are needed
6 cups of 3% tea are needed
check:
(2)
(2)
(2)
(2)
(2)
(2)
OK
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