Ask Question
23 July, 05:33

Heath wants 10 L of a solution that is 90% bleach. He will combine pure bleach with a mixture that is 20% bleach.

(a) Write a system of equations to model the problem. Use p for the number of liters of pure bleach and m for the number of liters of the mixture that is 20% bleach.

(b) Solve the system. Show your work. How many liters of pure bleach will Heath use? How many liters of the 20% mixture will he use?

+2
Answers (1)
  1. 23 July, 08:49
    0
    We need 10 liters of 90% bleach.

    We have pure bleach (p) and 20% bleach (m)

    A) p + m = 10 liters

    B) p +.2m = (.90 * 10)

    multiplying equation B by - 1

    B) - p -.2m = - 9 then adding equation A

    A) p + m = 10

    .8 m = 1

    m = 1.25 liters of 20% bleach

    p = 8.75 liters of 100% bleach

    Double Check

    The 1.25 liters of 20% bleach contains. 25 liters of pure bleach.

    Basically, we have (8.75 liters +.25 liters) 9 liters of pure bleach in a volume of 10 liters. 9 / 10 =.9 equals 90%
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Heath wants 10 L of a solution that is 90% bleach. He will combine pure bleach with a mixture that is 20% bleach. (a) Write a system of ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers