Question

lynn is selling tickets to the play. On the first day of ticket sales she sold 5 adult tickets and 9 children tickets for a total of $98.75. On the second day she sold 10 adult and 15 children tickets for a total of $182.50. What is the price for one adult ticket and one student ticket?

Answer 1

pls read carfully trustme my answer is right

Explanation:

let a = the price of adult tickets

let c = the price of children's

:

Write an equation for each day

5a + 9c = 98.75

10a + 15c = 182.50

Use elimination, multiply the 1st equation by 2

10a + 18c = 197.50

10a + 15c = 182.50

----------------------subtraction eliminates a, find c

0 + 3c = 15

c = 15/3

c = $5 for each child

:

Find a

5a + 9(5) = 98.75

5a + 45 = 98.75

5a = 98.75 - 45

5a = 53.75

a = 53.75/5

a = $10.75 for each adult

Check this using the 2nd equation, replace a and c

10a + 15c = 182.50

10(10.75) + 15(5) =

107.50 + 75 = 182.50