Question 968018
Let {{{ a }}} = number of bottles of red wine sold
Let {{{ b }}} = number of bottles of white wine sold
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(1) {{{ a + b = 40 }}}
(2) {{{ 39.95a + 30.49b = 1456.1 }}}
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Multiply both sides of (1) by {{{ 30.49 }}}
and subtract (1) from (2)
(2) {{{ 39.95a + 30.49b = 1456.1 }}}
(1) {{{ -30.49a - 30.49b = -1219.6 }}}
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{{{ 9.46a = 236.5 }}}
{{{ a = 25 }}}
and
(1) {{{ a + b = 40 }}}
(1) {{{ b = 15 }}}
25 bottles of red and 15 bottles of white were sold