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?

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

a

explanation:

step-by-step explanation:

i found the life tables for the year 2012. 

life table of males at age 30. probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old. 

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

                                          probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497