Question 712385
Let {{{ x }}} = grams of sugar in 200 grams of solution
{{{ .4*400 = 160 }}} grams of sugar in 40% solution
{{{ 400 + 200 = 600 }}} total grams of solution
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{{{ ( 160 + x ) / 600 = .38 }}}
{{{ 160 + x = .38*600 }}}
{{{ 160 + x = 228 }}}
{{{ x = 228 - 160 }}}
{{{ x = 68 }}}
The % sugar in 200 grams of solution is
{{{ ( 68/200 )*100 = 34 }}}
34%
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check:
{{{ ( 160 + x ) / 600 = .38 }}}
{{{ ( 160 + 68 ) / 600 = .38 }}}
{{{ 228/600 = .38 }}}
{{{ 228 = .38*600 }}}
{{{ 228 = 228 }}}
OK