Answer: The cost of a movie ticket is $9
and that of snacks is $2
Step-by-step explanation:
Let Movie tickets price be denoted by x
and snacks price be denoted by y
Given :2x+ 3y =24 ..........[1]
3x+4y= 35.............[2]
Multiplying [1] by 3
and [2] by 2
6x +9y =72.........[3]
6x+ 8y=70.........[4]
Subtracting [4] from [3]
6x +9y -6x -8y =72 -70
y=2
Putting the value of y in [2]
3x +4*2=35
3x+8 =35
subtracting 8 both sides
3x +8 -8 =35-8
3x= 27
Dividing both sides by 3
x=9
∴ The value of a movie ticket is $9
and that of snacks is $2
