Question 1049404
Let {{{ a }}} = number of covered pavillion seats sold
Let {{{ b }}} = number of lawn seat tickets sold
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(1) {{{ a + b = 2225 }}}
(2) {{{ 40a + 25b = 70250 }}}
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(2) {{{ 8a + 5b = 14050 }}}
Multiply both sides of (1) by {{{ 5 }}}
and subtract (1) from (2)
(2) {{{ 8a + 5b = 14050 }}}
(1) {{{ -5a - 5b = -11125  }}}
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{{{ 3a = 2925 }}}
{{{ a = 975 }}}
and
(1) {{{ a + b = 2225 }}}
(1) {{{ 975 + b = 2225 }}}
(1) {{{ b = 1250 }}}
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975 of the covered pavillion seats were sold
1250 of the lawn seat tickets were sold
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check:
(2) {{{ 40*975 + 25*1250 = 70250 }}}
(2) {{{ 39000 + 31250 = 70250 }}}
(2) {{{ 70250 = 70250 }}}
OK