Question 973243
Let {{{ r }}} = the cash value of 1 red chip
Let {{{ b }}} = the cash value of 1 blue chip
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given:
(1) {{{ 3r + 4b = 23 }}}
(2) {{{ 5r + 12b = 65 }}}
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Multiply both sides of (1) by {{{ 3 }}} and
subtract (2) from (1)
(1) {{{ 9r + 12b = 69 }}}
(2) {{{ -5r - 12b = -65 }}}
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{{{ 4r = 4 }}}
{{{ r = 1 }}}
Each red chip is worth $1
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check:
(1) {{{ 3*1 + 4b = 23 }}}
(1) {{{ 3 + 4b = 23 }}}
(1) {{{ 4b = 20 }}}
(1) {{{ b = 5 }}}
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(2) {{{ 5r + 12b = 65 }}}
(2) {{{ 5*1 + 12*5 = 65 }}}
(2) {{{ 5 + 60 = 65 }}}
(2) {{{ 65 = 65 }}}
OK