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## The cost for 5 adults and 3 children to attend a show is $210. ( /5) For 2 adults and 5 children the cost is $160. Form a pair o

Question

The cost for 5 adults and 3 children to attend a show is $210. ( /5)

For 2 adults and 5 children the cost is $160.

Form a pair of simultaneous linear equations and solve them to find the cost of:

i. an adult ticket

ii. a child ticket

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Mathematics
4 months
2021-08-18T07:01:07+00:00
2021-08-18T07:01:07+00:00 1 Answers
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## Answers ( )

Answer:i. Cost of adult ticket = $ 30ii. Cost of child ticket = $20

Step-by-step explanation:Define variables:

Let x= cost of 1 adult tickets , y= cost of 1 child tickets.

Form linear equations:

5x+3y = 210 (i)

2x+5y= 160 (ii)

Multiply (i) by 2 and (ii) by 5

10x +6y = 420 (iii)

10x+25y = 800 (iv)

Eliminate (iii) from (iv)

19y = 380

⇒ y= 20

Put this in (i)

Hence,

Cost of adult ticket = $ 30 and Cost of child ticket = $20