Answer:
44 ounces
Step-by-step explanation:
Begin by setting up your equation in the following format:
(Percent)(Amount) + (Percent)(Amount) = (Percent)(Amount + Amount)
In this case, your equation should look like this:
(0.15)(x) + (0.20)(11) = (0.16)(x + 11)
where x stands for the number of ounces of the 15% alcohol solution needed.
Next, we can begin simplifying to solve for x. Your work should look similar to this:
(0.15)(x) + (0.20)(11) = (0.16)(x + 11)
0.15x + 2.2 = (0.16)(x + 11)
~ Multiply both sides by 100 to eliminate all of the decimals ~
15x + 220 = 16(x + 11)
15x + 220 = 16x + 176
15x = 16x - 44
-x = -44
x = 44
This means that 44 ounces of 15% solution must be mixed with 20% solution to make 16% solution
~Hope this Helps!~
Ben=x
Amy=x-24
x-24/x = 3/5
5x-120 = 3x
5x-3x = 120
2x=120
X= 60
Ben = 60
Amy = 60-24 = 36
5(x+1)-2x=2(3+x) —> factorise
5x+5-2x=6+2x —> - 3x
3x+5=6+2x —> -2x
x+5=6 —> -5
x=1
