Question

Keith want to create a drink that is 40% juice. How much of a 10% juice solution should he add to 100 milliliters of 100% grape juice to obtain the 40% mixture?

Answer 1

@Chris182aa x = amount of 10%
100 = amount of 100%
x + 100 = amount of 40% mix
10x + 100(100) = 40(x + 100)
10x + 10,000 = 40x + 4,000
-10x - 4000 - 10x - 4000

6000 = 30x

answer -> x = 6000 ÷ by 30 = 200 mL

Answer 2

i ment to put the divide symbol sorry

Answer 3

Let x = ml of 10% solution to be added
0.1x = ml of juice in 10% solution
10ml = ml of juice in 100% solution

0.1x+10/x+10=0.4
0.1x+10=0.4(x+10)
0.1x+10=0.4x+4
0.3x=6
x=20

20 ml of 10% solution needs to be added