two movie tickets and 3 snakcs are $24. three movie tickets and 4 snacks are $35. how much is a movie ticket and how much is a snack

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