Question 1056815
Let {{{ a }}} = pounds of cashews needed
Let {{{ b }}} = pounds of peanuts needed
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(1) {{{ a + b = .5 }}}
(2) {{{ 6a + 2.3b = 1.7 }}}
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(2) {{{ 60a + 23b = 17 }}}
and
(1) {{{ 2a + 2b = 1 }}}
Multiply both sides of (1) by {{{ 30 }}}
and subtract (2) from (1)
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(1) {{{ 60a + 60b = 30 }}}
(2) {{{ -60a - 23b = -17 }}}
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{{{ 37b = 13 }}}
{{{ b = .351 }}}
and
(1) {{{ a + b = .5 }}}
(1) {{{ a + .351 = .5 }}}
(1) {{{ a = .149 }}}
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.149 pounds of cashews are needed
.351 pounds of peanuts are needed
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check:
(2) {{{ 6a + 2.3b = 1.7 }}}
(2) {{{ 6*.149 + 2.3*.351 = 1.7 }}}
(2) {{{ .894 + .8073 = 1.7 }}}
(2) {{{ 1.7013 = 1.7 }}}
error due to rounding off, I think
Definitely get another opinion on this problem