Question

How many cups of 15% juice

must be added to 10 cups of
20% juice so that the mixture is
17% juice?

Answer 1

• 15 cups

Explanation:

20% of juice has:

• 10*0.2 = 2 cups of extract

If x cups of juice added we'll have:

• 2 + x*0.15 = 0.17(10 + x)
• 2 + 0.15x = 1.7 + 0.17x
• 0.17x - 0.15x = 2 - 1.7
• 0.02x = 0.3
• x = 0.3/0.02
• x = 15