Question 580495
Let {{{ a }}} = number of bean seedlings planted
Let {{{ b }}} = number of squash vines planted
given:
(1) {{{ a + b = 75 }}}
(2) {{{ 226a + 127b = 12396 }}} ( in cents )
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Multiply both sides of (1) by {{{ 127 }}}
and subtract (1) from (2)
(2) {{{ 226a + 127b = 12396 }}}
(1) {{{ -127a - 127b = -9525 }}}
{{{ 99a = 2871 }}}
{{{ a = 29 }}}
and, since
(1) {{{ a + b = 75 }}}
(1) {{{ 29 + b = 75 }}}
(1) {{{ b = 75 - 29 }}}
(1) {{{ b = 46 }}}
29 bean seedlings were planted
46 squash vines were planted
check:
(2) {{{ 226a + 127b = 12396 }}}
(2) {{{ 226*29 + 127*46 = 12396 }}}
(2) {{{ 6554 + 5842 = 12396 }}}
(2) {{{ 12396 = 12396 }}}
OK