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At the movie theatre, child admission is $5.20 and adult admission is $8.40 . On Sunday, 170 tickets were sold for a total sales of $1172.00 . How many child tickets were sold that day?

Respuesta :

Apocrophon
total # of tickets = # of kids + # of adults, or
170 = k + a
total money made = price of a kid's ticket*# of kids tickets + price of an adults ticket*# of adult tickets, or
$1172.00 = $5.20k + $8.40a

Rewrite the first equation.
170 = k + a
a = 170 - k
Plug the first equation into the second.
1172 = 5.2k + 8.4(170 - k)
1172 = 5.2k + 1428 - 8.4k
-256 = -3.2k
k = 80 tickets
ntowry

Answer:

80 children's tickets

Step-by-step explanation:

step up system of equations

let a be number of adult tickets

let c be number of child tickets

a+c = 170

5.20c + 8.40a = 1172

substitute c = 170 - a

5.20 (170 - a) + 8.40 a = 1172

884 - 5.20a + 8.40a = 1172

3.20a = 280

a = 90

c = 170 - 90

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