X = amount of 50% solution
y = total amount after mixing
Note that the amount of alcohol in the 20% solution is 80 (0.2) = 16 oz.
We have 2 unknowns, so we need 2 equations:
first, we can write the equation for the total volume:
y = x + 80
next, apply the percentages to get an equation for the amount of alcohol:
0.4 y = 0.5 x + 16
Finally, solve the pair of equations (in this case, by substitution of the 1st into the second:
0.4 (x + 80) = 0.5x + 16
0.4 x + 32 = 0.5X + 16
rearrange and combine like terms:
0.1x = 16
x = 160
from the 1st equation:
y = 160 + 80 = 240
4x + 28
Distribute the four to both numbers to and add the x to the four for 4x 4 x 7= 28 so
4x + 28
There will be 15 orange pickles and 10 green picks
Do 2^3 first. It is isolated on one side of a set of the + sign.
{8 + [4*(10 - 6)]} / 3 Next do the innermost
{8 + [4*4]} / 3 Do what's in the square brackets.
{8 + 16} / 3
24/3 Divide by 3
The answer is 8
8 <<<< answer.
