Question 980158
Let {{{ a }}} = number of single tickets sold
Let {{{ b }}} = number of lots of 5 tickets sold
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(1) {{{ a + 5b = 1000 }}}
(2) {{{ 50a + 200b = 47000 }}} ( in cents )
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(2) {{{ a + 4b = 940 }}}
Subtract (2) from (1)
(1) {{{ a + 5b = 1000 }}}
(2) {{{ -a - 4b = -940 }}}
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{{{ b = 60 }}}
and
(2) {{{ a + 4*60 = 940 }}}
(2) {{{ a = 940 - 240 }}}
(2) {{{ a = 700 }}}
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60 lots of 5 tickets each were sold
check:
(2) {{{ a + 4b = 940 }}}
(2) {{{ 700 + 4*60 = 940 }}}
(2) {{{ 700 + 240 = 940 }}}
(2) {{{ 940 = 940 }}}
OK