Question 1043947
Let {{{ a }}} = pounds of cashews needed
Let {{{ b }}} = pounds of peanuts needed
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(1) {{{ a + b = .5 }}}
(2) {{{ 5.5a + 2.3b = 1.7 }}}
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(2) {{{ 55a + 23b = 17 }}}
Multiply both sides of (1) by {{{ 23 }}} and
subtract (1) from (2)
(2) {{{ 55a + 23b = 17 }}}
(1) {{{ -23a - 23b = -11.5 }}}
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{{{ 32a = 5.5 }}}
{{{ a = .1719 }}}
and
(1) {{{ .1719 + b = .5 }}}
(1) {{{ b = .3281}}}
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.1719 pounds of cashews are needed
.3281 pounds of peanuts are needed
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check:
(2) {{{ 5.5a + 2.3b = 1.7 }}}
(2) {{{ 5.5*.1719 + 2.3*.3281 = 1.7 }}}
(2) {{{ .94545 + .75463 = 1.7 }}}
(2) {{{ 1.70008 = 1.7 }}}
close enough
You might want a 2nd opinion also