Math, asked by karunyairvin03, 1 month ago

match tickets for 4 adults and 7 childrens costs a total of €45 adult tickets costs twice the price of childs ticket a) write an equation for the cost of the tickets b) work out the cost of adult ticket

Answers

Answered by neerajpriyan726

Answer :

(a)

Adults (x) = 4 ; tickets cost = 4x

children (y) = 7 ; tickets cost = 7y, but if adult tickets costs twice the price of childs ticket, then 4x can also be written as 8y.

(a) = Children = 7y & adults = 8y

(b)

totally all tickets - including adult tickets which are now converted to children tickets are 7y + 8y = 15y and so that means a children's ticket costs = total amount payed divided by children tickets taken = 45/15 = €3.

so if a children's ticket is €3 then, an adults ticket would be €3 × 2 = €6.

and there are 4 adults so all the adults ticket costs 4 × €6 = €24 and there were 7 children so they're tickets cost 7 × €3 = €21 and as you can see €24 + €21 = €45 which was the total amount

(b) cost of adult ticket = €6

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