June 1999 P2 Q1
(a) In a chocolate, the ratio of the masses of cocoa : milk : other ingredients is 3 : 2 : 5.
(i) What fraction of the chocolate is cocoa?
(ii) The mass of a chocolate is 28 g.
Calculate the mass of milk in a chocolate.
(b) The chocolates were sold in boxes. In 1996, each box cost $4.80.
Fiona had $29 and bought as many boxes as possible.
(i) How many boxes did she buy?
(ii) How much money id she have left?
(c) The price in 1998 was 10% more than the 1996 price of $4.80/
Calculate the price in 1998
(d) The price of $4.80 was an increase of 20% on the price in 1990. Calculate the price in 1990.
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Answer:
(a)
(i) 3 / (3 + 2 + 5) = 3 / 10
(ii) Mass of milk = 2 / (3 + 2 + 5) * 28g = 5.6 g
(b)
(i) 29 / 4.8 = 6.041
Thus, she bought 6 boxes
(ii) She has $29 - $4.80*6 = $0.20 left.
(c) Price in 1998 = 110% * $4.80 = $5.28
(d) $4.80 / 120% = %4.80 / 1.2 = $4
The 1990 price is $4.
