Question

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Q. (a) in a chocolate the ratio of the masses of cocoa:milk:other ingredient is 3:2:5.
1. What fraction of the chocolate is cocoa?
2.the mass of a chocolate is 28g. 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.
1. How many boxes did she buy?
2.how much money did 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 of 1990. Calculate the price in 1990.

Answer 1

take x as common multiple

Answer 2

a) 1. The cocoa is 3/10 parts of the chocolate

2. Let all ingredients be x
3x + 2x + 5x = 10x = 28g
Milk is 2x/ 10x
So,
$\frac{2x}{10x} \times 40 = \frac{2}{10} \times 40 = 8gram$
b)1.No of boxes she bought = Money she had ÷cost of one box
=29÷ 4.8
=6.04
So she bought 6 boxes

2. The change she had was $0.20
29 - (4.8 × 6) = 0.20 dollars

c) Price in 1998 was $5.28
[(10/100) × 4.80] + 4.80 dollars
= $5.28

d)Price in 1990 was $5.76
[(20/100) × 4.80] + 4.80 dollars
= $5.76

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