Question 1144658
Let {{{ a }}} = cost of a pound of jelly beans
Let {{{ b }}} = cost of a pound of almonds
-------------------------------------------------
(1) {{{ 7a + 9b = 46 }}}
(2) {{{ 5a + 3b = 20 }}}
----------------------------
Multiply both sides of (2) by {{{ 3 }}} and 
subtract (1) from (2)
(2) {{{ 15a + 9b = 60 }}}
(1) {{{ -7a - 9b = -46 }}}
-----------------------------
{{{ 8a = 14 }}}
{{{ a = 1.75 }}}
and
(2) {{{ 5*1.75 + 3b = 20 }}}
(2) {{{ 8.75 + 3b = 20 }}}
(2) {{{ 3b = 11.25 }}}
(2) {{{ b = 3.75 }}}
----------------------
Jelly beans: $1.75 /lb
Almonds: $3.75 /lb
--------------------------
check:
(1) {{{ 7*1.75 + 9*3.75 = 46 }}}
(1) {{{ 12.25 + 33.75 = 46 }}}
(1) {{{ 46 = 46 }}}
OK