Question 1062781
Let {{{ a }}} = number of adult tickets sold
Let {{{ c }}} = number of child tickets sold
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(1) {{{ a + c = 150 }}}
(2) {{{ 1025a + 775c= 147000 }}} ( in cents )
Divide both sides by {{{ 25 }}}
(2) {{{ 41a + 31c = 5880 }}}
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Multiply both sides of (1) by {{{ 31 }}}
and subtract (1) from (2)
(2) {{{ 41a + 31c = 5880 }}}
(1) {{{ -31a - 31c = -4650 }}}
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{{{ 10a = 1230 }}}
{{{ a = 123 }}}
and
(1) {{{ a + c = 150 }}}
(1) {{{ 123 + c = 150 }}}
(1) {{{ c = 27 }}}
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123 adult tickets and 27 child tickets were sold
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check:
(2) {{{ 1025a + 775c= 147000 }}}
(2) {{{ 1025*123 + 775*27 = 147000 }}}
(2) {{{ 126075 + 20925 = 147000 }}}
(2) {{{ 147000 = 147000 }}}
OK