The admission fee of a theater is $2.50 for adults and $1.25 for children. On a certain day, 700 people went to the theater for a concert and $1375 was collected. How many children and how many adults attended the concert?

a. 300 adults, 400 children
b. 400 adults, 1100 children
c. 400 adults, 300 children
d. 600 adults, 100 children

Question

The admission fee of a theater is $2.50 for adults and $1.25 for children. On a certain day, 700 people went to the theater for a concert and $1375 was collected. How many children and how many adults attended the concert?

a. 300 adults, 400 children
b. 400 adults, 1100 children 
c. 400 adults, 300 children 
d. 600 adults, 100 children

anonymous · Answer

The answer is A

anonymous · Answer

2.50x + 1.25y = 1375
x + y = 700

Solve the system of equations. That's how you solve this problem.

anonymous · Answer

a +  c  =  700		Elimination
2.50a + 1.25c  =  1375

   	-2.50( a +  c  =  700 )		Multiply everything in top equ. by –2.50        
2.50a + 1.25c  =  1375		

-2.50a – 2.50c  = -1750			
2.50a + 1.25c  =   1375			
	-1.25c  =  -375

	-1.25c  =  -375
	-1.25	       -1.25		a  +  (300)  =  700

		c  =  300		a  =  400

anonymous · Answer

A.) i got the same answer