contestada

The Godfather sold one million more than twice the number of tickets that were sold for the Santa Clause E.T. Sold 15 million more than twice the tickets sold for The Godfather. If 270 million tickets were sold in all, how many tickets were sold for The Godfather

Respuesta :

calculista

Let

x--------> tickets sold from The Godfather

y--------> tickets sold from Santa Clause

z--------> tickets sold from E.T

we know that

[tex] x=1,000,000+2y [/tex]-------> equation 1

[tex] z=15,000,000+2x [/tex] -------> equation 2

[tex] x+y+z=270,000,000 [/tex] -------> equation 3

Substitute equation 1 in equation 2

[tex] z=15,000,000+2*[1,000,000+2y] [/tex]

[tex] z=17,000,000+4y [/tex] -------> equation 4

Substitute equation 1 and equation 4 in equation 3

[tex] [1,000,000+2y]+y+[17,000,000+4y]=270,000,000 [/tex]

[tex] 18,000,000+7y=270,000,000 [/tex]

[tex] y=36,000,000 [/tex]

find the value of x

[tex] x=1,000,000+2*36,000,000 [/tex]

[tex] x=73,000,000[/tex]

therefore

the answer is

73,000,000 tickets


Otras preguntas