mary9590
27.10.2019 •
Mathematics
At a theater, the price of 4 adult
tickets and 3 child tickets is $156,
the price of 3 adult tickets and 4
child tickets is $145. what is the
ticket price for one adult and for
one child?
Solved
Show answers
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Ответ:
The price of adult tickets = $27
The price of child tickets = $16
Step-by-step explanation:
The price of adult tickets = x
The price of child tickets = y
4x +3y = 156 > equ 1
3x + 4y = 145 > equ 2
multiply equ 1 by 3 ===> 12x + 9y = 468
multiply equ 1 by 4 ===> 12x + 16y = 580
subtract , -7y = -112
y = -112/-7
y = 16
Substitute y value in equ 1,
4x + 3*16 = 156
4x + 48 = 156
4x = 156 - 48
4x = 108
x = 108/4
x = 27
The price of adult tickets = $27
The price of child tickets = $16
Ответ: