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Barrel A and barrel B have a combined capacity of 360 liters. If barre
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19 Jun 2021, 05:46
19 Jun 2021, 05:46
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Barrel A and barrel B have a combined capacity of 360 liters. If barrel B's capacity is 30 liters greater than twice barrel A's capacity, what is the capacity of barrel A?
Answer:
Answer:
Show: ::
110
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Barrel A and barrel B have a combined capacity of 360 liters. If barre
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19 Jun 2021, 07:48
19 Jun 2021, 07:48
1
GreenlightTestPrep wrote:
Barrel A and barrel B have a combined capacity of 360 liters. If barrel B's capacity is 30 liters greater than twice barrel A's capacity, what is the capacity of barrel A?
Answer:
Answer:
Show: ::
110
APPROACH #1: 1 variable
Let x = barrel A's capacity (I chose this quantity since the questions is explicitly asking for this value)
So, 360 - x = barrel B's capacity (since the two barrels have a combined capacity of 360 liters)
If barrel B's capacity is 30 liters greater than twice barrel A's capacity, we can write: 360 - x = 2x + 30
Add x to both sides: 360 = 3x + 30
Subtract 30 from both sides: 330 = 3x
Solve: x = 110
Answer: 110
APPROACH #2: 2 variables
Let A = barrel A's capacity
Let B = barrel B's capacity
Since they have a combined capacity of 360 liters, we can write: A + B = 360
Since barrel B's capacity is 30 liters greater than twice barrel A's capacity, we can write: B = 2A + 30
We now have the following system of equations:
A + B = 360
B = 2A + 30
Solve for A to get: A = 110
Answer: 110
General Discussion
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Re: Barrel A and barrel B have a combined capacity of 360 liters. If barre
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19 Jun 2021, 06:22
19 Jun 2021, 06:22
2
Barrel A and barrel B have a combined capacity of 360 liters
Let capacity of Barrel A be A and Capacity of Barrel B be B
=> A + B = 360 ...(1)
Barrel B's capacity is 30 liters greater than twice barrel A's capacity
=> B = 30 + 2A ...(2)
What is the capacity of barrel A
Putting value of B from (2) in (1) we get
A + (30 + 2A) = 360
=> 3A + 30 = 360
=> 3A = 360-30 = 330
=> A = 110 liters
So, Answer will be 110 liters.
Hope it helps!
Let capacity of Barrel A be A and Capacity of Barrel B be B
=> A + B = 360 ...(1)
Barrel B's capacity is 30 liters greater than twice barrel A's capacity
=> B = 30 + 2A ...(2)
What is the capacity of barrel A
Putting value of B from (2) in (1) we get
A + (30 + 2A) = 360
=> 3A + 30 = 360
=> 3A = 360-30 = 330
=> A = 110 liters
So, Answer will be 110 liters.
Hope it helps!
