Question 1066169
Let {{{ a }}} = cost/pound of soy beans
Let {{{ b }}} = cost/pound of wheat
--------------------------------------
(1) {{{ a = 5b }}}
(2) {{{ 4.7a + 2.4b = 51.8 }}}
-------------------------------
Substitute (1) into (2)
(2) {{{ 4.7*5b + 2.4b = 51.8 }}}
(2) {{{ 23.5b + 2.4b = 51.8 }}}
(2) {{{ 25.9b = 51.8 }}}
(2) {{{ b = 2 }}}
and
(1) {{{ a = 5*2 }}}
(1) {{{ a = 10 }}}
----------------------
$10 = cost/pound of soy beans
$2 = cost/pound of wheat
-----------------------------
check:
(2) {{{ 4.7a + 2.4b = 51.8 }}}
(2) {{{ 4.7*10 + 2.4*2 = 51.8 }}}
(2) {{{ 47 + 4.8 = 51.8 }}}
(2) {{{ 51.8 = 51.8 }}}
OK