SOLUTION: how many grams of sugar must be added to 60 grams of a 32% sugar solution to obtain a 50% sugar solution?

Question 490172: how many grams of sugar must be added to 60 grams of a 32% sugar solution to obtain a 50% sugar solution?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let x = the number of grams of sugar to be added to the 60 grams of a 32% sugar solution to obtain (60+x) grams of a 50% sugar solution.
Write the equation:
x+60(0.32) = (60+x)(0.5) Simplify.
x+19.2 = 30+0.5x Subtract 0.5x from both sides.
0.5x+19.2 = 30 Subtract 19.2 from both sides.
0.5x = 10.8 Finally, divide both sides by 0.5
x = 21.6
You need to add 21.6 grams of sugar to the 60gram of 32% sugar solution to obtain 81.6 (60+21.6) grams of 50% sugar solution.
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