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

Answer:

Number of adult tickets  = 298

Number of child tickets = 140

Step-by-step 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