Find the percent of orange juice in the new mixture.

Question

A person has made 8 quarts of an orange juice punch for a party. The punch contains 16% orange juice. She feels that she may need more? punch, but she has no more orange juice so she adds 3/2 quarts of water to the punch. Find the percent of orange juice in the new mixture.

Answer 1

Hi Meckenzie

 

We have 8 quarts of the punch

16% is OJ

That is 8 x .16 = 1.28 quarts of OJ in the punch.

 

Now she adds 3/2 quarts of water, so the total mixture is now 9.5 quarts (8+3/2)

1.28 / 9.5 = .1347 or 13.47% of the new mixture is OJ.

Answer 2

The measures, both volume and percentage, must be of the same item. Since water is added the percentages must be for the water.

16% orange juice is 84% water.

0.84(8) + 1.00(1.5) = x(9.5)

6.72 + 1.5 = 9.5x

8.22 = 9.5x

0.865 ≈ x

 

The results was 86.5% water or 13.5% orange juice