Question 1199176
x = the number of milliliters of 2% salt solution.
y = the number of milliliters of 8% salt solution.
total solution needs to be 1 liter = 1000 milliliters
your equations are:
x + y = 1000.
.02 * x + .08 * y = .056 * 1000 = 56
these two equations need to be solved simultaneously
multiply both sides of the first equation by .02 and leave the second equation as is to get:
.02 * x + .02 * y = 20
.02 * x + .08 * y = 56
subtract the first equation from the second to get:
.06 * y = 36
divide both sides of the equation by .06 to get:
y = 36 / .06
solve for y to get:
y = 600
in the equation x + y = 1000, solve for x to get:
x = 400
when x = 400 and y = 600, .....
x + y = 400 + 600 = 1000
.02 * 400 + .08 * 600 = 56
56 / 1000 = .056
your solution is that 400 milliliters of 2% solution needs to be mixed with 600 milliliters of 8% solutopm to get 1000 milliliters = 1 liter of 5.6% solution.