Question 1107350
Let {{{ x }}} = the amount that he
started with
After spending $550 on food & clothes,
he has {{{ x-550 }}} left
Then he gave {{{ .4*( x - 550 ) }}} to Janet
That means he has {{{ .6*( x - 550 ) }}} left for himself
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Then you are told that:
{{{ .6*( x - 550 ) = .3x }}}
{{{ .6x - 363 = .3x }}}
{{{ .3x = 363 }}}
{{{ x = 1210 }}}
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He gave Janet {{{ .4*( x - 550 ) = .4*( 1210 - 550 ) }}}
{{{ .4*( x - 550 ) = .4*660 }}}
{{{ .4*660 = 264 }}}
He gave $264 to Janet
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check answer:
He started with $1210
He had {{{ 1210 - 550 = 660 }}} after food & clothes
{{{ 550 - 264 = 286 }}}
He had $286 left after giving $264 to Janet
and {{{ .3*1210 = 286 }}}
OK