Question

At a local concert, the cost for 3 adults and 2 children was $32.00. The cost for 8 adults and 5 children

was $84.00. Find how much it costs for an individual adult and how much it costs for an individual
child.
Adult ticket price = $
Child ticket price = $

Answer 1

Hence the cost of adult tickets is $8

and the cost of child ticket is $4

Explanation:

Given data

Let the cost per adult be x

and the cost per child be y

So

3x+2y= 32------------1

8x+5y= 84------------2

Now solving 1 and 2 simultaneously, we have

3x+2y= 32------------1X 5

8x+5y= 84------------2 X 2

15x+ 10y= 160

16x+ 10y= 168

-x+0)=-8

-x= -8

x= 8

Put x= 8 in 1 to find y

3*8+2y= 32

24+2y= 32

2y= 32-24

2y= 8

y= 4