Each child ticket for a ride cost three dollars while each adult ticket cost five dollars. If the ride collected a total of $115 and 33 tickets were sold how many of each type of tickets were sold?

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Each child ticket for a ride cost three dollars while each adult ticket cost five dollars. If the ride collected a total of $115 and 33 tickets were sold how many of each type of tickets were sold?

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Answer 1 · 2016-12-30T13:29:48

$8$ $8$ adult tickets and $25$ $25$ child tickets

Explanation:

Let the number of children's tickets be $c$ $c$ and the number of adult tickets be $a$ $a$

We are told:
$XXX a + c = 33 \to a = 33 - c$ $color(white)("XXX")a+c=33 rarr a=33-c$
and
$XXX 3 c + 5 a = 115 \to 3 c + 5 (33 - c) = 115$ $color(white)("XXX")3c+5a=115 rarr 3c+5(33-c)=115$

$XXXXXXXXXXXX \to - 2 c + 165 = 115$ $color(white)("XXXXXXXXXXXX")rarr -2c+165=115$

$XXXXXXXXXXXX \to - 2 c = - 50$ $color(white)("XXXXXXXXXXXX")rarr -2c=-50$

$XXXXXXXXXXXX \to c = 25$ $color(white)("XXXXXXXXXXXX")rarr c=25$

and since $a = 33 - c \to a = 8$ $a=33-c rarr a=8$

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Each child ticket for a ride cost three dollars while each adult ticket cost five dollars. If the ride collected a total of $115 and 33 tickets were sold how many of each type of tickets were sold?

1 Answer

Explanation:

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