A biologist has a 40% solution and a 10% solution of the same plant nutrient. How many cubic centimeters of each solution should be mixed to obtain 40 cc of a 25% solution?
A)The biologist should mix 15 cc of 40% solution with 25 cc of 10% solution.
B)The biologist should mix 20 cc of 40% solution with 20 cc of 10% solution.
C)The biologist should mix 5 cc of 40% solution with 35 cc of 10% solution.
D)The biologist should mix 25 cc of 40% solution with 15 cc of 10% solution.
E)The biologist should mix 30 cc of 40% solution with 10 cc of 10% solution.

Question

A biologist has a 40% solution and a 10% solution of the same plant nutrient. How many cubic centimeters of each solution should be mixed to obtain 40 cc of a 25% solution? ​
A)The biologist should mix 15 cc of 40% solution with 25 cc of 10% solution.
B)The biologist should mix 20 cc of 40% solution with 20 cc of 10% solution.
C)The biologist should mix 5 cc of 40% solution with 35 cc of 10% solution.
D)The biologist should mix 25 cc of 40% solution with 15 cc of 10% solution.
E)The biologist should mix 30 cc of 40% solution with 10 cc of 10% solution.

Quizplus · Accepted Answer

To find the correct mixture, set up the equation: 0.4x + 0.1(40-x) = 0.25(40). Solving this gives x = 20, meaning 20 cc of the 40% solution and 20 cc of the 10% solution are needed.

A Biologist Has a 40% Solution and a 10% Solution