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Jennifer has 60 dollars more than Brian. If she were to give
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17 Apr 2020, 10:49
17 Apr 2020, 10:49
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Question Stats:
66% (02:28) correct
33% (02:22) wrong based on 21 sessions
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Jennifer has 60 dollars more than Brian. If she were to give Brian 1/5 of her money, Brian would have 25% less than the amount that Jennifer would then have. How much money does Jennifer have?
Show: :: OA
100
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Re: Jennifer has 60 dollars more than Brian. If she were to give
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17 Apr 2020, 11:05
17 Apr 2020, 11:05
1
Carcass wrote:
Jennifer has 60 dollars more than Brian. If she were to give Brian 1/5 of her money, Brian would have 25% less than the amount that Jennifer would then have. How much money does Jennifer have?
Show: :: OA
100
Here's one approach:
Let J = Jennifer's $
Let B = Brian's $
Jennifer has 60 dollars more than Brian.
So, J = B + 60
If Jennifer were to give Brian 1/5 of her money, Brian would have 25% less than the amount that Jennifer would then have.
If Jennifer were to give Brian 1/5 of her money, then Jennifer has (4/5)J dollars, and Brian has B + (1/5)J dollars
If Brian has 25% less than the amount that Jennifer has, then Brian's amount = 3/4 Jennifer's amount.
So, we can write: (3/4)(4/5)J = B + (1/5)J
Simplify, to get (3/5)J = B + (1/5)J
Multiply both sides by 5 to get: 3J = 5B + J
Rearrange: 2J = 5B
We now have the system:
J = B + 60
2J = 5B
When we solve it, we get J = 100 (as well as B = 40)
Answer: 100
Cheers,
Brent
Re: Jennifer has 60 dollars more than Brian. If she were to give
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07 Feb 2021, 10:02
07 Feb 2021, 10:02
1
Hi, how did you get to 100 from the 2J = 5B. Thanks!We now have the system:
J = B + 60
2J = 5B
When we solve it, we get J = 100 (as well as B = 40)
J = B + 60
2J = 5B
When we solve it, we get J = 100 (as well as B = 40)
