Zara thinks of a number. She doubles it and then adds 7. Her answer is 31.
Form an equation and solve it to find Zara's number. You must show your working.
(3 marks)C34 · Both tiers · A21
Forming equations from situations
Priya, Tom and Ava share some stickers.
Tom has 5 more stickers than Priya. Ava has twice as many stickers as Tom. Altogether they have 83 stickers.
(a)
Priya has stickers. Show that .
(3 marks)(b)
Work out how many stickers Ava has.
(2 marks)(c)
Ava says she has more than half of all the stickers. Is Ava correct? You must show how you get your answer.
(2 marks)At a cinema, an adult ticket costs £ and a child ticket costs £4 less than an adult ticket. Two adults and three children pay £58 altogether.
(a)
Work out the cost of an adult ticket.
(3 marks)(b)
A family of one adult and four children has £45. Do they have enough money? You must show how you get your answer.
(2 marks)A theatre sells adult tickets for £12 and child tickets for £7. A group buys 9 tickets for £88. How many adult tickets does the group buy?
(3 marks)