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3 years ago

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

Mathematics

1 answer:

liraira [26]3 years ago

4 0

Answer: i. Cost of adult ticket = $ 30

ii. 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)

$5x+3(20)=210\Rightarrow\ 5x+60 = 210\\\\\Rightarrow\ 5x=150\\\\\Rightarrow\ x=30$

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

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