Question

We started with five gallons of an orange drink that was 90% water and 10% syrup. We added 1 gallon of concentrate and ended up with a resulting mixture that was 86% water and 14% syrup. Determine what percent of the concentrate was water and what percent was syrup.

Answer 1

The gallon of concentrate was 66% water and 34% syrup.

Explanation:

- The first thing is to know how much water and how much syrup have the 5 gallons.

90% water and 10% syrup.

- If we have 5 gallons with the same percentages then:

Where X is the percentage that we do not know.

(90 + 90 + 90+ 90 + 90 + X) / 6 = 86

(90 + 90 + 90+ 90 + 90 + X) = 516

X = 66

The answer is 66% water in the gallon added.