Question 721662
Let {{{ g }}} = the cost of a go-cart ticket
Let {{{ b }}} = the cost of a bumper-car ticket
(1) {{{ 3g + 4b = 39.75 }}}
(2) {{{ b = 2g - 1.75 }}}
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(1) {{{ 300g + 400b = 3975 }}}
Divide both sides by {{{ 25 }}}
(1) {{{ 12g + 16b = 159 }}}
and
(2) {{{ 2g - b = 1.75 }}}
(2) {{{ 200g - 100b = 175 }}}
(2) {{{ 8g - 4b = 7 }}}
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Muyltiply both sides of (2) by {{{ 4 }}}
and add (2) and (1)
(1) {{{ 12g + 16b = 159 }}}
(2) {{{ 32g - 16b = 28 }}}
{{{ 44g = 187 }}}
{{{ g = 4.25 }}}
and, since
(2) {{{ b = 2g - 1.75 }}}
(2) {{{ b = 2*4.25 - 1.75 }}} 
(2) {{{ b = 8.5 - 1.75 }}}
(2) {{{ b = 6.75 }}}
The cost of a go-cart ticket is $4.25
The cost of a bumper-car ticket is $6.75
check:
(1) {{{ 3g + 4b = 39.75 }}}
(1) {{{ 3*4.25 + 4*6.75 = 39.75 }}}
(1) {{{ 12.75 + 27 = 39.75 }}}
(1) {{{ 39.75 + 39.75 }}}
OK