Question 957966
Let {{{ a }}} = pounds of sour worms needed
Let {{{ b }}} = pounds of sour bears needed
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(1) {{{ a + b = 3 }}}
(2) {{{ ( 2.2a + 2.75b ) / 3 = 2.4 }}}
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(2) {{{ 2.2a + 2.75b = 2.4*3 }}}
(2) {{{ 2.2a + 2.75b = 7.2 }}}
(2) {{{ 220a + 275b = 720 }}}
(2) {{{ 44a + 55b = 144 }}}
Multiply both sides of (1) by {{{ 44 }}}
and subtract (1) from (2)
(2) {{{ 44a + 55b = 144 }}}
(1) {{{ -44a - 44b = 132 }}}
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{{{ 11b = 12 }}}
{{{ b = 12/11 }}}
and
(1) {{{ a + 12/11 = 3 }}}
(1) {{{ a = 33/11 - 12/11 }}}
(1) {{{ a = 21/11 }}}
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1.909 pounds of sour worms are needed
1.091 pounds of sour bears are needed
check:
(2) {{{ ( 2.2a + 2.75b ) / 3 = 2.4 }}}
(2) {{{ ( 2.2*(21/11) + 2.75*(12/11) ) / 3 = 2.4 }}}
(2) {{{ .2*21 + 3  = 2.4*3 }}}
(2) {{{ 4.2 + 3 = 7.2 }}}
(2) {{{ 7.2 = 7.2 }}}
OK