Question
(a) A plane has 14 First Class seats, 70 Premium seats and 168 Economy seats.
Find the ratio First Class seats : Premium seats : Economy seats.
Give your answer in its simplest form.
…………… : …………… : ……………
(b) (i) For a morning flight, the costs of tickets are in the ratio
First Class : Premium : Economy = 14 : 6 : 5.
The cost of a Premium ticket is \($114.\)
Calculate the cost of a First Class ticket and the cost of an Economy ticket.
First Class \($ …………………………………………\)
Economy \($ ………………………………………….\)
(ii) For an afternoon flight, the cost of a Premium ticket is reduced from \($114\) to \($96.90 \).
Calculate the percentage reduction in the cost of a ticket.
……………………………………… %
(c) When the local time in Athens is 09 00, the local time in Berlin is 0800.
A plane leaves Athens at 1315.
It arrives in Berlin at 1505 local time.
(i) Find the flight time from Athens to Berlin.
…………………… h …………………… min
(ii) The distance the plane flies from Athens to Berlin is 1802km.
Calculate the average speed of the plane.
Give your answer in kilometres per hour.
…………………………………. km/h
Answer/Explanation
(a) 1 : 5 : 12
(b)(i) 266 and 95
(ii) 15
(c)(i) 2h 50min
(ii) 636
Question
David sells fruit at the market.
(a) In one week, David sells 120kg of tomatoes and 80kg of grapes.
(i) Write 80kg as a fraction of the total mass of tomatoes and grapes.
Give your answer in its lowest terms.
(ii) Write down the ratio mass of tomatoes:mass of grapes.
Give your answer in its simplest form.
(b) (i) One day he sells 28kg of oranges at \($1.56 per kilogram.\)
He also sells 35kg of apples.
The total he receives from selling the oranges and the apples is\( $86.38 .\)
Calculate the price of 1 kilogram of apples.
(ii) The price of 1 kilogram of oranges is \($1.56 .\)
This is 20% more than the price two weeks ago.
Calculate the price two weeks ago.
(c) On another day, David received a total of \($667\) from all the fruit he sold.
The cost of the fruit was \($314.20 .\)
David worked for 10\(\frac{1}{2}\) hours on this day.
Calculate David’s rate of profit in dollars per hour.
Answer/Explanation
Answer:
(a) (i) \(\frac{2}{5}\)
(ii) 3 : 2 cao
(b) (i) 1.22
(ii) 1.3[0] nfww
(c) 33.6[0]