Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Discover comprehensive answers to your questions from knowledgeable professionals on our user-friendly platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

CORRECT ANSWER GETS BRAINLIESTTTT!!!!!

Julia's school is selling tickets to the annual dance competition. On the first day of ticket sales

the school sold 5 senior citizen tickets and 9 student tickets for a total of $149. The school took

in $103 on the second day by selling 7 senior citizen tickets and 3 student tickets. Find the price

of a senior citizen ticket.

The price of a senior citizen ticket is [x] dollars.


Sagot :

Senior tickets (x)

Child tickets (y)

First day:  3x + 5y = 70

second day: 12x + 12y = 216

Solve the system of equations (use elimination)

Multiply first equation by -4   -4(3x + 5y = 70),  which makes it

-12x - 20y = -280

(+)12x + 12y = 216    add to second equation

-8y = -64

divide by -8.    y = 8

Plugin the y value to either equation ( I will choose first equation)

3x + 5(8) =70

3x+ 40 = 70

3x = 30

x = 10

Senior tickets are $10, child tickets are $8