Question

An apprentice baker made 40 liters of 60% sugar syrup instead of 40 liters of 45% sugar syrup. How much syrup should she drain and replace with distilled water so that the resulting solution is 40 liters of 45% syrup?

Answer 1

• 10 l

Explanation:

40 l of 60% sugar syrup becomes 40 l of 45% sugar syrup if x l is drained and replaced with distilled water. Sugar content is then:

• (40 - x)*0.6 = 40*0.45
• 24 - 0.6x = 18
• 0.6x = 24 - 18
• 0.6x = 6
• x = 6/0.6
• x = 10 l

10 liters solution was replaced with distilled water