Question

The harrison middle school students are selling tickets for the annual talent show. On the first day of tickets sale the student sold 10 adult tickets and 11 students tickets for a total of $190. The second day, the students sold a total of $160 worth of tickets, 5 adult tickets and 12 student tickets. What is the price of the adult tickets? What is the price for the students tickets?

Answer 1

Answer: $10

Step-by-step explanation:

Let adults tickets be denoted by a

Let student tickets be denoted by s

On the first day of tickets sale, there were 10 adult tickets and 11 students tickets sold for a total of $190. This will be:

10a + 11s = 190

The second day, there were a total of $160 worth of tickets, 5 adult tickets and 12 student tickets. This will be:

5a + 12s = 160

We combine both equations

10a + 11s = 190 .......... equation i

5a + 12s = 160 ........... equation ii

Multiply equation i by 5

Multiply equation ii by 10

50a + 55s = 950 ....... equation iii

50a + 120s= 1600 ........ equation iv

Subtract equation iv from iii

50a + 55s = 950

- 50a + 120s= 1600

-65s = -650

65s= 650

Divide both side by 65

s = 10

The price for the student's ticket is $10.