Respuesta :

a = martinee
b = student
c = regular

All these ticked sold a total of 8500.

a+b+c = 8500

All of them also totaled $64600.

5a+6b+8.50c = 64600

And students tickets sold twice martinee tickets

b = 2a

a+2a+c = 8500

3a+c = 8500

Solve for the variable c

c = 8500 - 3a

And plug in the value

5a + 6(2a) + 8.5(8500-3a) = 64600

5a + 12a + 72250 - 25.5a = 64600

5a + 12a - 25.5a = 64600 - 72250

-8.5a = -7650

a can't be negative so multiply for -1 each side.

8.5a = 7650

solve for a and divide both for 8.5

8.5a/8.5 = 7650/8.5

a = 900 (martinee)

students are twice the martinee tickets

b = 2*900 = 1800 (student)

And to find regular subtract from 8500 (total) the unknown value of regular (3a)

c = 8500 - 3*900

c = 8500 - 2700

c = 5800 (regular)

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