There are two containers of milk. There is twice as much milk in the first container as in the second. After using 2 gal. of milk from the second container and 3 gal. of milk from the first container, the second container had 4.5 times less milk than the first. How many gallons of milk were in both containers originally?

Question
Answer:
Let us say that: V1 = initial gallons in first container V2 = initial gallons in second container Β  From the problem statement, we can create the equations: Β  V1 = 2 V2 V1 – 3 = 4.5 (V2 – 2) Β  Combining the two: 2 V2 – 3 = 4.5 (V2 – 2) 2 V2 – 3 = 4.5 V2 – 9 2.5 V2 = 6 V2 = 2.4 gallons Β  V1 = 2 V2 = 4.8 gallons Β  So there are 4.8 gallons in the 1st container while 2.4 gallons in the 2nd container. Β 
solved
general 8 months ago 2738