Question 1069883
Let {{{ a }}} = gallons of 60% sugar solution needed
{{{ .6a }}} = gallons of sugar in 60% solution
Let {{{ b }}} = gallons of water needed
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(1) {{{ a + b = 6 }}}
(2) {{{  .6a  / 6 = .5 }}}
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(2) {{{ .6a = 3 }}}
(2) {{{ a = 5 }}}
and
(1) {{{ a + b = 6 }}}
(1) {{{ 5 + b = 6 }}}
(1) {{{ b = 1 }}}
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 5 gallons of 60% sugar solution is needed
1 gallon of water is needed
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check:
(2) {{{  .6a  / 6 = .5 }}}
(2) {{{  .6*5  / 6 = .5 }}}
(2) {{{ 3/6 = .5 }}}
(2) {{{ .5 = .5 }}}
OK