Question 1203963: Lola has 4 orange juice containers. Each container is 5/8 full.
Lola claims to have a total of 2 1/2 gallons of orange juice in the 4 containers.
Which of these statements must be true in order for Lola's claim to be correct?
A. Each container has a capacity of 5/8 gallon.
B. Each container has a capacity of 1 gallon. (correct answer)
C. Each container has a capacity of 2 1/2 gallons.
D. Each container has a capacity of 8 gallons.
What mathematical procedures are done to determine that (B) is the correct answer?
Answer by math_tutor2020(3817)   (Show Source):
You can put this solution on YOUR website!
x = capacity, in gallons, of each container
Each container is 5/8 full, so (5/8)x represents how much orange juice is in each container.
Four such containers would have a total of 4*(5/8)x = (20/8)x = (5/2)x gallons of juice.
If Lola's claim is correct, then we'll form the equation below in which we can solve for x.
(5/2)x = 2 & 1/2
(5/2)x = 2 + (1/2)
(5/2)x = (4/2) + (1/2)
(5/2)x = 5/2
x = (5/2)*(2/5)
x = 1
Therefore, each container has a capacity of 1 gallon.
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