Question 1191479
Bryan’s money was 3 3/5 times his sister’s money.
3{{{3/5}}} = {{{18/5}}}
b = {{{18/5}}}s
 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 {{{18/5}}}s
{{{18/5}}}s = 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 = {{{18/5}}}*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)