Question

2. For her chemistry experiment, Marisol needs 2 liters of a 50% alcohol solution. The lab has two containers, one with 40% alcohol solution and the other with 80% alcohol solution.

i cant figure out the linear equations

Answer 1

x+y=2
given 40% alcohol and 80% alcohol solution we would then have
.4x+.8y=1

Answer 2

ok thank you i had that same answer i just wasn't sure if it was right :)

Answer 3

Anytime!

Answer 4

so would x and y both equal 1? @reeses

Answer 5

its a system of equations so solve for x for one equation and plug it into x for the other equation then the value get for x you plug it back into the first equation then solve for y :)

Answer 6

Let the amount of 40% solution be a and 80% solution b.

so, 0.4a + 0.8b = 0.5(a + b)

Now, a + b = 2

=> 0.4a + 0.8(2 - a) = 0.5(2)

i.e. 1.6 - 0.4a = 1

so, 0.4a = 0.6

=> a = 1.5 and b = 0.5

Hence, 1.5 litres of 40% solution needs mixing with 0.5 litres of 80% solution to give a 2-litre, 50% solution

:)>

Answer 7

1.5 and 0.5