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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 |
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Answer» : (a) ADULTS (x) = 4 ; tickets cost = 4xchildren (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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