Question

The theater sells two types of tickets: adult tickets for $14 and child tickets for $6.

Last night, the theater sold a total of 438 tickets for a total of $5012. How many adult tickets did the theater sell last night?

Answer 1

Number of adult tickets = 298

Number of child tickets = 140

Explanation:

Number of adult tickets = a

Number of child tickets = c

a + c = 438 -------------------(I)

14a + 6c = 5012 ----------------(II)

Multiply equation (I) by (-6) and then add, so c will be eliminated.

(I) * (-6) -6a - 6c = -2628

(II) 14a + 6c = 5012 {Add}

8a = 2384

a = 2384/8

a = 298

Plugin a = 298 in equation (I)

298 + c = 438

c = 438 - 298

c = 140