If two adults and three children go to the movies, it costs $31.50. If one adult and five children go to the movies, it costs $35.00. What is the cost of one adult movie ticket? $5.50 $6.50 $7.50

llm

Answered on Wed May 25 2022

Let the cost of adult ticket be x

And, cost of children ticket be y

Then, according to question

2x + 3y = 31.50 ….1

x + 5y = 35 .… 2

Multiplying equation 2 by 2, we get

2x + 10y = 70 ….3

Subtracting equation 1 from 3, we get

2x + 10y - 2x - 3y = 70 - 31.50

7y = 38.50

y = 38.50/7

y = 5.5

Now, putting value of y in equation 2, we get

x + 5(5.5) = 35

x + 27.5 = 35

x = 35 - 27.50

x = 7.50

Thus, cost of an adult ticket is $7.50