Question

A candy maker is mixing up some sugar syrup for use in making sweets. How much of 30% sugar syrup should she add to 12 liters of 20% sugar syrup to obtain a mixture that contains 26% sugar? Write your answer as a whole number or as a decimal rounded to the nearest tenth.

Answer 1

She should add 18 liters of 30% sugar syrup

Explanation:

Let the amount of sugar syrup be x

Mathematically;

30% of x liters + 20% of 12 liters = 26% of (x + 12)

So, we have

0.3x + 2.4 = 0.26x + 3.12

0.3x-0.26x = 3.12-2.4

0.04x = 0.72

x = 0.72/0.04

x = 18