Two kinds of milk, which have butterfat contents of 1% and 3.5%, are to be mixed together. How many liters of each kind are needed to produce 10 liters of low-fat milk (2% butterfat)?
2007-10-11 12:55:18 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Please tell me how you got your systems. I'd really like to learn something instead of just getting the correct answer.
2007-10-11 12:55:51 · update #1
x=1% milk, y=3.5% milk
1x +3.5 y= 2(x+y)
3.5y-2y=2x-1x
1.5y=x
x+y=10 liters
Substitute 1.5 y for x
1.5y + y = 10 liters
2.5y= 10 liters
y=10/2.5=4 liters
x=6 liters
2007-10-11 13:10:23 · answer #1 · answered by Frst Grade Rocks! Ω 7 · 2⤊ 0⤋
(1/100)x + (3.5/100)y = (2/100)(10)
x + y = 10
x + 3.5y = 20
2.5y = 10
y = 10/2.5 = 100/25 = 4 L of 3.5%
x = 10 - 4 = 6 L of 1%
2007-10-11 20:16:38 · answer #2 · answered by Helmut 7 · 0⤊ 0⤋
the answer is...sorry, gotta go, bye...
2007-10-11 20:03:24 · answer #3 · answered by Jango Fett 1 · 0⤊ 2⤋
2.7%
2007-10-11 19:58:43 · answer #4 · answered by Anonymous · 0⤊ 2⤋