Word problem

Question

A nurse mixes 60 cc of a 50% saline solution with a 10% saline solution to produce a 25% saline solution. How much of the 10% solution should he use?

Answer 1

Hello, thank you for taking the time to post your question!

If you let “x” represent the amount of 10% solution that he should use, the underlying equation here becomes

0.50(60) + 0.10x = 0.25(60 + x)

From there then you can solve for the value of “x” algebraically!

30 + 0.10x = 15 + 0.25x

15 = 0.15x

x = 15/0.15 = 100

meaning that the nurse needs to use 100 cc of the 10% solution

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

50%(60)+10%(x)=25%(60+x)

0.5(60)+0.1(x)=0.25(60+x)

30+0.1x=15+0.25x

30-15=0.25x-0.10x

15=0.15x

1500=15x

x=1500/15

x=100 cc