Ms. Mohammed wants to bleach her hair and she needs 1 500 ml of 36% hydrogen peroxide solution. The solutions available to her are 30% hydrogen peroxide solution and 40% hydrogen peroxide solution. How many millilitres of each solution should she use? plz show all your work and explain so i understand.
2006-09-17 15:04:10 · 5 answers · asked by MuchCount 1 in Science & Mathematics ➔ Mathematics
x-solution with 30%
y-solution with 40%
so we need 1500 ml of 36% solution
the first equation is x+y=1500
the second is 30%x+40%y=36%1500
we find the value of x=1500-y and we plug it to the second equation and we have 0.3(1500-y)+0.4y=0.36x1500
0.3x1500-0.3y+0.4y=540
450+0.1y=540
0.1y=90
y=900ml
x=1500-900=600ml
2006-09-17 15:21:35 · answer #1 · answered by Gentian M 1 · 0⤊ 0⤋
x*.30 +(1-x)*.4=.36
.3x-.4x+.4=.36
-.1x=-.04
x=.4
Therefore, 40 percent of the solution should be the 30% and 60 percent of the solution should come from the 40% concentrated source: 600 ml of 30% hydrogen peroxide solution; 900 ml of the 40% hydrogen peroxide solution.
2006-09-17 22:11:56 · answer #2 · answered by bruinfan 7 · 1⤊ 0⤋
1500(.36) = x(.30) + (1500-x)(.40)
540 = .30x + 600 -.40x
-60 = -.10x
x= 600 ml
So 600 ml of .30
and 1500-600 or 900 ml of .40
2006-09-17 22:10:28 · answer #3 · answered by Jimee77 4 · 0⤊ 0⤋
.3x + .4y = .36*1500
x + y = 1500
Solve 'em and you're done âº
Doug
2006-09-17 22:10:59 · answer #4 · answered by doug_donaghue 7 · 0⤊ 0⤋
sorry dude your not allowed to have help with home work nither am i and i hate the rule sorrrrrry!!!!!
2006-09-17 22:06:36 · answer #5 · answered by safi55 2 · 1⤊ 0⤋