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An advertisement for an orange drink claims that the drink contain 10% orange juice. How much pure orange juice would have to be added to the drink to obtain 5 quart a mixture containing 40% orange juice?

 Jan 14, 2020
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5 quarts of 40% = 5 x .4 = 2 quarts of pure orange juice

 

Pure orange juice is 100%    x is amount needed         5-x is the amount of 10% drink mix

 

1 (x)  + .1 (5-x) = 2

x + .5 - .1x = 2

.9x =1.5

x = 1.5/.9 = 1 2/3 quart of pure orange needed

 Jan 14, 2020

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