Answer:
you will 180 pints of the 100% juice and 540 pints of the 40% juice
Step-by-step explanation:
in order to get a 55% mixture you must combine 1 100% and 3 40%
100 + 120 = 220 then divide by 4 and you get 55% juice
now you must use 180 100% juice and 540 40 % juice to make 180 pints
you need this because the ratio is 3 40% to every 1 100%
This is just substitution. so 3(2(3)-4(1/2)+3(-2/3)= 3(6-2-2)= 3(2) = 6. Basically you plug in the values they gave you for the variables and then just solve one step at a time
A = 115 + 1/2 (p + s)
you subtract 115 from both sides, and you get
A - 115 = 1/2 (p + s)
now you multiply by 2 on both sides, and you get
(A - 115) * 2 = p + s
NOTE: I DISTRIBUTED 2 IN THE FOLLOWING EQUATIONnow you subtract p on both sides to get s by itself and you get
2A - 230 - p = s
so the final answer is .......
EQUATIONS:
24x + 32y = 264
x + y = 9
x is shirts, y is pants
SOLVING by substitution:
x = 9 - y
24(9 - y) + 32y = 264
216 - 24y + 32y = 264
8y = 48
y = 6
x + 6 = 9
x = 3