Question 1147256
Let {{{ a }}} = amount of Jack's money
Let {{{ b }}} = amount of Jill's money
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{{{ a/b = 5/2 }}}
{{{ a = (5/2)*b }}}
{{{ ( a - 126 ) / .2b = 2/1 }}}
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by substitution:
{{{ .2b / ( (5/2)*b - 126 ) = 2 }}}
{{{ .2b = 5b - 252 }}}
{{{ 4.8b = 252 }}}
{{{ b = 52.5
and
{{{ a = 2.5*52.5 }}}
{{{ a = 131.25 }}}
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{{{ .2b = .2*52.5 }}}
{{{ .2b = 10.5 }}}
and
{{{ a - 126 = 131.25 - 126 }}}
{{{ a - 126 = 5.25 }}}
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{{{ 10.5 + 5.25 = 15.75 }}}
The bill was $15.75
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check:
{{{ a/b = 5/2 }}}
{{{ 131.25 / 52.5 = 2.5 }}}
{{{ 2.5 = 2.5 }}}
OK
check the math & get a 2nd opinion if needed