Question 1092896
Let {{{ a }}} = cost /pound of jelly beans
Let {{{ b }}} = cost /pound of trail mix
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(1) {{{ 8a + 4b = 25 }}}
(2) {{{ 3a + 2b = 11 }}}
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Multiply both sides of (2) by {{{ 2 }}} and
subtract (2) from (1)
(1) {{{ 8a + 4b = 25 }}}
(2) {{{ -6a - 4b = -22 }}}
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{{{ 2a = 3 }}}
{{{ a = 1.5 }}}
and
(2) {{{ 3*1.5 + 2b = 11 }}}
(2) {{{ 4.5 + 2b = 11 }}}
(2) {{{ 2b = 6.5 }}}
(2) {{{ b = 3.25 }}}
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Jelly beans cost $1.50/pound
Trail mix costs $3.25/pound
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check:
(1) {{{ 8a + 4b = 25 }}}
(1) {{{ 8*1.5 + 4*3.25 = 25 }}}
(1) {{{ 12 + 13 = 25 }}}
(1) {{{ 25 = 25 }}}
OK