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?

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%

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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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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?