Question 481920
I think there is something wrong with
this problem. It might have been misprinted
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Let {{{a}}} = cost of a kid's ticket
Let {{{b}}} = cost of an adult's ticket
given:
For Jack:
(1) {{{ 4a + 2b = 14 }}}
For Bill,
(2) {{{ 6a + 2b = 23 }}}
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(1) {{{ 4a = 14 - 2b }}}
(1) {{{ a = (14 - 2b)/4 }}}
and
(2) {{{ 6a = 23 - 2b }}}
(2) {{{ a = (23 - 2b)/6 }}}
Therefore:
{{{ (14 - 2b)/4 = (23 - 2b)/6 }}}
Multiply both sides by {{{24}}}
{{{ 6*(14 - 2b) = 4*(23 - 2b) }}}
{{{ 84 - 12b = 92 - 8b }}}
{{{ 12b - 8b = 84 - 92 }}}
{{{ 4b = -8 }}}
{{{ b = -2 }}}
So, the Adults get paid $2 each to go to the picnic. Such a deal!