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The total amount of Judy’s water bill for the last quarter
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06 Mar 2018, 15:21
06 Mar 2018, 15:21
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Question Stats:
92% (00:56) correct
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The total amount of Judy’s water bill for the last quarter of the year was $40.50. The bill consisted of a fixed charge of $13.50 plus a charge of $0.0075 per gallon for the water used in the quarter. For how many gallons of water was Judy charged for the quarter?
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enter your value
Show: :: OA
3600
kudos to the right explanation and solution
Sherpa Prep Representative
Joined: 15 Jan 2018
Posts: 147
Given Kudos: 0
Re: The total amount of Judy’s water bill for the last quarter
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06 Mar 2018, 19:07
06 Mar 2018, 19:07
2
Expert Reply
We can make an equation to figure out the answer. This is a quite common equation with a flat fee and a rate above that. The equation will be the same as the line slope formula: y = mx + b.
In this case, we can say the equation is
Total = (price per gallon)(# of gallons) + flat fee
so
40.50 = .0075g + 13.50 (where g is # of gallons)
then
27 = .0075g
then
27/.0075 = g
cancel 3 from top and bottom:
9/.0025 = g
Multiply top and bottom by 4 to make the decimal easy:
36/.01
multiply top and bottom by 100:
3,600 = g
So Judy used 3,600 gallons.
In this case, we can say the equation is
Total = (price per gallon)(# of gallons) + flat fee
so
40.50 = .0075g + 13.50 (where g is # of gallons)
then
27 = .0075g
then
27/.0075 = g
cancel 3 from top and bottom:
9/.0025 = g
Multiply top and bottom by 4 to make the decimal easy:
36/.01
multiply top and bottom by 100:
3,600 = g
So Judy used 3,600 gallons.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: The total amount of Judy’s water bill for the last quarter
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03 May 2018, 10:05
03 May 2018, 10:05
1
Carcass wrote:
The total amount of Judy’s water bill for the last quarter of the year was $40.50. The bill consisted of a fixed charge of $13.50 plus a charge of $0.0075 per gallon for the water used in the quarter. For how many gallons of water was Judy charged for the quarter?
enter your value
kudos to the right explanation and solution
enter your value
Show: :: OA
3600
kudos to the right explanation and solution
The bill consisted of a fixed charge of $13.50 plus a charge of $0.0075 per gallon for the water used in the quarter.
Let G = number of gallons Judy used
So, we can write: TOTAL BILL = $13.50 + ($0.0075)(G)
Judy was charged $40.50, so we can write: $40.50 = $13.50 + ($0.0075)(G)
Subtract $13.50 from both sides to get: $27 = ($0.0075)(G)
Solve: G = 27/0.0075 = 3600
Answer: 3600
Cheers,
Brent
