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## 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

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 = $

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Mathematics
3 months
2021-08-19T05:08:02+00:00
2021-08-19T05:08:02+00:00 1 Answers
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## Answers ( )

Answer:

Hence the cost of adult tickets is $8

and the cost of child ticket is $4

Step-by-step 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