Question 979093
Let {{{ a }}} = cost in dollars of 1 bag of wildflower bulbs
Let {{{ b }}} = cost in dollars of 1 bag of daffodil bulbs
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(1) {{{ 14a + 7b = 217 }}}
(2) {{{ 5a + 14b = 250 }}}
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Multiply both sides of (1) by {{{ 2 }}}
and subtract (2) from (1)
(1) {{{ 28a + 14b = 434 }}}
(2) {{{ -5a - 14b = -250 }}}
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{{{ 23a = 184 }}}
{{{ a = 8 }}}
and, from (1)
(1) {{{ 2a + b = 31 }}}
(1) {{{ b = 31 - 2*8 }}}
(1) {{{ b = 31 - 16 }}}
(1) {{{ b = 15 }}}
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1 bag of wildflower bulbs costs $8
1 bag of daffodil bulbs costs $15
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check:
(2) {{{ 5a + 14b = 250 }}}
(2) {{{ 5*8 + 14*15 = 250 }}}
(2) {{{ 40 + 210 = 250 }}}
(2) {{{ 250 = 250 }}}
OK
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