Question 995253
Let {{{ a }}} = pounds of regular coffee needed
Let {{{ b }}} = pounds of premium coffee needed
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(1) {{{ a + b = 24 }}}
(2) {{{ ( 4a + 8b ) / 24 = 6 }}}
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(2) {{{ 4a + 8b = 144 }}}
(2) {{{ a + 2b = 36 }}}
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Subtract (1) from (2)
(2) {{{ a + 2b = 36 }}}
(1) {{{ -a - b = -24 }}}
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{{{ b = 12 }}}
and
(1) {{{ a + 12 = 24 }}}
(1) {{{ a = 12 }}}
12 pounds of regular coffee are needed
12 pounds of premium coffee are needed
check:
(2) {{{ ( 4a + 8b ) / 24 = 6 }}}
(2) {{{ ( 4*12 + 8*12 ) / 24 = 6 }}}
(2) {{{ ( 48 + 96 ) / 24 = 6 }}}
(2) {{{ 144 = 6*24 }}}
(2) {{{ 144 = 144 }}}
OK