Math 2017 Question 42
Question 42
There are 450 mangoes and oranges in a fruit stall. There are twice as many mangoes as there are oranges.
(a) How many oranges are in the stall? (1 mark)
(b) 2/3 of the oranges are green and the others are ripe.
How many oranges are ripe? (2 marks)
(c) A box can hold 24 mangoes. How many boxes are needed to pack ALL the mangoes? (2 marks)
Answer
(a) 150 oranges
(b) 50 oranges
(c) 13 boxes
Explanation
(a) Let oranges = R and M = Mangoes
2 R = M
Therefore 2R + R = 450
3R = 450
R = 450 ÷3 = 150
There are 150 oranges and 300 mangoes
(b) 2/3 oranges are green therefore 1/3 of oranges are ripe
Number ripe = 150 ×1/3 = 50 oranges
(c) There are 300 mangoes
If a box can hold 24 mangoes then number of boxes needed are
300 ÷24 rounded up to the next whole number
300 ÷24 = 12½
Therefore 13 boxes are needed
