I am not great at percentage problems, so I want someone help with this question

Question

The Royal Fruit Company produces two types of fruit drinks. The first type is 40% pure fruit juice, and the second type is 100% pure fruit juice. The company is attempting to produce a fruit drink that contains 55% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 180 pints of a mixture that is 55% pure fruit juice?

Answer 1

Hello Malik.

If the total is 180 pints; lets say

x represents amount of 40% juice,

180-x represents amount of 100% juice

The equation should be:

40%*x +100%*(180 -x) = 55%*180 (you can multiply each part by 100 to get rid of percents)

40x + 100(180 - x) = 55*180

40x +18000 - 100x = 9900

-60x = -8100

x = 135 this is the amount of 40% juice

180-135 = 45 pints is 100% juice

hope that helps