134k views
5 votes
Michael has 2 liters of a 10% solution. How much of a 17% solution would he need to add to get a 15% solution?

User Jsharpe
by
5.4k points

1 Answer

4 votes

Answer:

5 liters

Explanation:

Let x represent the number of liters of the 17% solution, and represent the percentages as decimal values:

0.1(2) + (0.17)(x) = 0.15(x + 2)

Simplify:

0.2 + 0.17x = 0.15x + 0.3

Solve for x:

0.17x = 0.15x + 0.1

0.02x = 0.1

x = 5

So, you would need 5 liters of a 17% solution to get a 15% solution

User Mbecker
by
5.5k points