SOLUTION: how many liters of sprite must be added to 8 liters of a mixture of 30% sprite and 70% lime juice to obtain a mixture which is 40% sprite and 60% lime juice. All percentages are by

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Question 301601: how many liters of sprite must be added to 8 liters of a mixture of 30% sprite and 70% lime juice to obtain a mixture which is 40% sprite and 60% lime juice. All percentages are by volume
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
There are 8 liters of a mixture of 30% sprite and 70% lime juice
The liters of sprite is:
.3%2A8+=+2.4
The liters of lime juice is:
.7%2A8+=+5.6
Call the liters of sprite added to this to get 40% sprite x
%282.4+%2B+x%29%2F%288+%2B+x%29+=+.4
2.4+%2B+x+=+.4%2A%288+%2B+x%29
2.4+%2B+x+=+3.2+%2B+.4x
.6x+=+.8
x+=+4%2F3 liters
4/3 liters of sprite must be added
check:
The % of lime juice is:
5.6%2F%288+%2B+4%2F3%29+=+.6
5.6+=+.6%2A%2828%2F3%29
5.6%2A3+=+.6%2A28
16.8+=+16.8
OK