Question 438404
Let {{{a}}} = the price of a box of 16 peaches
Let {{{b}}} = the price of a bag of 12 apples
Let {{{c}}} = the price of  2 boxes of peaches and 5 bags of apples
given:
(1) {{{ a = b + 201 }}} (in cents)
(2) {{{ 2a + 5b = c }}} (in cents)
{{{ c + .06c = 4611 }}} (in cents)
{{{ c = 4611/1.06 }}}
{{{ c = 4350 }}} ( in cents)
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(1) {{{ a - b = 201 }}}
(2) {{{ 2a + 5b = 4350 }}}
Multiply both sides of (1) by {{{5}}} and add (1) and (2)
(1) {{{ 5a - 5b = 1005 }}}
(2) {{{ 2a + 5b = 4350 }}}
{{{ 7a = 5355 }}}
{{{ a = 765 }}}
and, since
(1) {{{ a - b = 201 }}}
{{{ 765 - b = 201 }}}
{{{ b = 765 - 201 }}}
{{{ b = 564 }}}
Each box of 16 peaches costs $7.65
Each bag of 12 apples costs $5.64
check:
(2) {{{ 2a + 5b = c }}}
(2) {{{ 2*765 + 5*564 = 4350 }}}
{{{ 1530 + 2820 = 4350 }}}
{{{ 4350 = 4350 }}}
OK