MATH SOLVE

2 months ago

Q:
# In a lab, a 30% acid solution is being mixed with a 5% acid solution to create a 10% acid solution. What is the ratio of the amount of the 30% solution to the amount of 5% solution used to create the 10% solution? 1:3 1:4 1:5 1:6

Accepted Solution

A:

Answer: 1 : 4Step-by-step explanation:Let x represent the amount of 30% solution for 1 unit of 5% solution. Then the amount of acid in the mix is ... 0.30x + 0.05·1 = 0.10·(x +1) 0.30x + 0.05 = 0.10x + 0.10 . . . . eliminate parentheses 0.20x = 0.05 . . . . . . . . . . . . . . . . subtract 0.05+0.10x x = 0.05/0.20 = 1/4That is, the ratio x : 1 is 1 : 4.