Question

A film class of 45 people went to the movies. Adult tickets cost $13, and student tickets cost $5. All together, they spent $273. Determine the number of students and adults are in the class.

Answer 1

Answer:

6 adult tickets

39 student tickets

Step-by-step explanation:

let the no. adults be x and the students be y

so, no. of adults + no. of students =45

in other words x+y=45 (make this your 1st equation)

and make 13x+5y=273 your 2nd equation

now lets go back to the 1st eq and make x its subject so this is what it will look like,

x=45-y

now if we take this value of x from the 1st eq and put it in place of the x in the 2nd eq the the 2nd eq looks like this,

13(45-y) +5y =273

now if we solve this it comes

y=39

working

13(45-y) +5y =273

585 -13y +5y =273

-13y +5y =273 -585

-18y = -312

y = $\frac{-312}{-8}$   （cancel out the minuses）

y = $\frac{312}{8}$

y=39

now as you know the value of y (no. of students), you can put this value of y in the 1st eq to find the value of x

so x= 45 -y will become

x= 45 -39 (as you know the value of y)

now if we solve this the value of x comes

x=6

hence the no. of adults are 6 and the no. of students are 39.

hope it helped