Question

4. In one day, a movie theater collected $4600 from 800 people. The price of admission is $7 for an adult and $5 for a child. How many adults and how many children were admitted to the movie theater that day? I​

Answer 1

this is a system of equations , and it's no surprise that it's tricky for you. these are tricky for anyone.

Explanation:

X=adults

Y=children

I only know to make these two equations from experience doing these types of questions.

X+Y=800

7X +5Y=4600

there are a few ways to solve this , i"m just going to multiply the first equatlion by 7 and the subtract the 2nd from that whole equation.

7(X +Y=800)

7X +7Y = 5600

-(7X +5Y =4600)

0X +2Y = 1000

Y = 500 ( 500 children went to the movies )

by inspection you can probably see that 300 adults had to go too

500 kids

300 parents

also that's 4600 dollars to let those people in

7(300) + 5(500) = 4600

2100 + 2500 = 4600