SOLUTION: Bryan’s money was 3 3/5 times his sister’s money. After his mother gave him $44 and his sister $122, Bryan then had twice as much money as his sister. How much money did Bryan

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Question 1191479: Bryan’s money was 3 3/5 times his sister’s money. After his mother gave him $44 and his sister $122, Bryan then had twice as much money as his sister. How much money did Bryan have at first?
Found 3 solutions by josgarithmetic, ankor@dixie-net.com, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
x, how much sister had at first.
Byron then had %2818%2F5%29x dollars at that time.

Second Sentence:
%2818%2F5%29x%2B44=2%28x%2B122%29----------simplify and solve for x, and then find 18x%2F5.


STEPS---------------------
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18x%2B5%2A44=10%28x%2B122%29
18x%2B5%2A44=10x%2B1220
8x=1220-5%2A44
highlight_green%28x=125%29---------but the actual question asks for %2818%2F5%29%2A125.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Bryan’s money was 3 3/5 times his sister’s money.
33%2F5 = 18%2F5
b = 18%2F5s
After his mother gave him $44 and his sister $122, Bryan then had twice as much money as his sister.
b + 44 = 2(s+122)
b + 44 = 2s + 244
b = 2s + 244 - 44
b = 2s + 200
Replace b with 18%2F5s
18%2F5s = 2s + 200
Get rid of the fraction, multiply by 5
18s = 10s + 1000
18s - 10s = 1000
8s = 1000
s = $125 his sister had at first
:
How much money did Bryan have at first?
b = 18%2F5*125
cancel the 5 into 125
b = 18 * 25
b = $450 at first
:
:
Check this using the statement" his mother gave him $44 and his sister $122, Bryan then had twice as much money as his sister."
450 + 44 = 2(125+122)
494 = 2(247)

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Bryan’s money was 3 3/5 times his sister’s money. After his mother gave him $44 and his sister $122, Bryan then had twice as much money as his sister. How much money did Bryan have at first?
Let amount Bryan had at first, be B
With Bryan having matrix%281%2C3%2C+3%263%2F5%2C+or%2C+18%2F5%29 of sister's amount, sister's initial amount = 5B%2F18
Based on given info, we have:
9B - 5B = 1,800 ------ Multiplying by LCD, 9
4B = 1,800
Initial amount Bryan had, or