Number And Algebra - Chapter 7 Applying Ratios And Rates - Nelson Think Math Page 32

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Chapter 7 review
16
Use the 2011 charges shown to find the total electricity bill for a WA customer on the K1
See Example 6
Tariff who used 1450 units/day for 7 days.
The price of electricity in Western Australia is as follows.
2011 Synergy K1 Tariff Charges (All prices are inclusive of GST)
K1 Charges
Cost
Supply charge (cents) per day
40.14
Electricity charge (cents) per unit for:
First 20 units per day
21.87
Between 21–1650 units per day
27.41
More than 1650 units per day
24.75
Source:
17
Insert >, < or ¼ to make true statements.
a
5 : 8
7 : 13
b
50 : 3
106 : 7
c
42 : 16
22 : 8
18
Share $180 in the ratio 2 : 3 : 4.
Problem solving
19
A snail moves at 3.5 cm/s. How far does it travel in 14 seconds?
See Example 4
20
Bananas cost $1.75/kg. What mass of bananas could you buy for $10?
See Example 4
21
David and Phan share deliveries of advertising literature in their suburb. Last week they were paid
$15. David covered 120 houses and Phan covered 180 houses. How much should Phan get?
Reasoning
22
This is a photo of an ant. The ant is actually
6.1 mm long.
See Example 17
a
What is the scale?
b
What does 1 cm on the photograph
represent in reality?
c
What is the real distance across the ant’s
abdomen?
23
The average mass of a watermelon is 3.4 kg. At the Rocklea markets, watermelon is sold in
lots of 40 kg or more for $0.58/kg. A fruit shop bought watermelons and applied a mark-up
of 80%. How many watermelons could you buy from the shop for $20?
24
An industrial dishwasher is rated at 4500 W and runs for 12 hours a day in a local restaurant.
Use the electrical charges shown in question 12 to calculate the amount of electricity the
dishwasher uses in a 30-day period. How much would this cost?
25
A recipe uses 300 g of self-raising flour, 150 mL of milk, 125 g of sugar, 4 eggs and 30 g of
butter to make a sponge cake that weighs 500 g after cooking. What amounts of each
ingredient should be used to make an 800 g cake?
269
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