The lemonade comes in 100% juice concentrate, but you only serve it as 70% solution. Unfortunately, one batch got overwatered, so you have 4 quarts of 50% solution. How much 100% concentrate do you need to add in order to get the 70% solution?

How much of the 70% solution will you have?

Question

Chace Moody

Mathematics

22 November, 15:19

The lemonade comes in 100% juice concentrate, but you only serve it as 70% solution. Unfortunately, one batch got overwatered, so you have 4 quarts of 50% solution. How much 100% concentrate do you need to add in order to get the 70% solution?

How much of the 70% solution will you have?

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Answers (1)

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Branden Pace · Answer 1

0.5 (4) + 1x = (x+4) 0.7

2+x=0.7x+2.8

minus 0.7x both sides

2+0.3x=2.8

minus 2 from both sides

0.3x=0.8

divide both sides by 0.3

x=8/3

adds 8/3 quarts or 2 and 2/3 quarts

total is 4 + 2 and 2/3 or 6 and 2/3

adds 2 and 2/3 quarts of 100%

total is 6 and 2/3 quarts of 70%

The lemonade comes in 100% juice concentrate, but you only serve it as 70% solution. Unfortunately, one batch got overwatered, so you have 4 quarts of 50% solution. How much 100% concentrate do you need to add in order to get the 70% solution?How much of the 70% solution will you have?

The lemonade comes in 100% juice concentrate, but you only serve it as 70% solution. Unfortunately, one batch got overwatered, so you have 4 quarts of 50% solution. How much 100% concentrate do you need to add in order to get the 70% solution?

How much of the 70% solution will you have?