Question 1050539
Let {{{ a }}} = cost/pound of cinnamon tea
Let {{{ b }}} = cost/pound of spice tea
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(1) {{{ 8a + 4b = 14 }}}
(2) {{{ 12a + 12b = 30 }}}
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(1) {{{ 4a + 2b = 7 }}}
(2) {{{ 2a + 2b = 5 }}}
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Subtract (2) from (1)
{{{ 2a = 2 }}}
{{{ a = 1 }}}
and
(2) {{{ 2*1 + 2b = 5 }}}
(2) {{{ 2 + 2b = 5 }}}
(2) {{{ 2b = 3 }}}
(2) {{{ b = 1.5 }}}
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$1.50 = cost/pound of spice tea
$1.00 = cost/pound of cinnamon tea
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check:
(1) {{{ 4a + 2b = 7 }}}
(1) {{{ 4*1 + 2*1.5 = 7 }}}
(1) {{{ 4 + 3 = 7 }}}
and
(2) {{{ 2a + 2b = 5 }}}
(2) {{{ 2*1 + 2*1.5 = 5 }}}
(2) {{{ 2 + 3 = 5 }}}
OK