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 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?

Answer 1

@ganeshie8

Answer 2

@KamiBug

Answer 3

how will I write this?

Answer 4

@KamiBug

Answer 5

@welshfella

Answer 6

I need part A and B @welshfella

Answer 7

2 equations
p + m= 10 ( as total volume = 10 L)

p + 0.20m = 9 ( amounts of pure bleach)

Answer 8

okay I'm going to solve that

Answer 9

okay I tried but I'm confused of how to solve that

Answer 10

the easiest way is to subtract the second equation from the first This will eliminate p

Answer 11

this will give 0.8m = 1

Answer 12

p+0.2m=9
p+m=10
cancel out p.
0.2m= 9-10=1
0.2m=1

Answer 13

how did you get 0.8?

Answer 14

m - 0.2m = 0.8m

Answer 15

and 10 - 9 = 1

Answer 16

okay I get 10-9=1
I'm sorry I just don't get it m-0.2m=0.8?
If m was 1 it would be 1-0.2=.8
okay I get sorry

Answer 17

I didn't feel m as 1. I get it

Answer 18

so m = 1 / 0.8 L

then to find p subtract the result from 10

Answer 19

1.25-10=-8.75

Answer 20

@welshfella

Answer 21

thats correct
8.75 L of pure bleach
1,25 L of 20% bleach

Answer 22

* 1.25 L

Answer 23

Thanks @welshfella

Answer 24

1.25 L is How many liters of the 20% mixture will he use