Units Of Measurement And Applications Worksheet Page 27
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44WORKED EXAMPLE 1
Tom’s height was 169 cm and Laura’s height was 165 cm. Write the ratio of:
a
b
Tom’s height to Laura’s height
Laura’s height to Tom’s height.
Solve
Think
Apply
The quantities compared are
Write the quantities in the order
169
____
Tom : Laura = 169 : 165 or
a
165
169 cm and 165 cm. Write these
given, separated by a colon or as
quantities in the order given,
a fraction, leaving out the units.
165
____
Laura : Tom = 165 : 169 or
b
separated by a colon or as a
The order is important as
169
169 : 165 ≠ 165 : 169.
fraction, leaving out the units.
WORKED EXAMPLE 2
Simplify these ratios.
3 _
2 _
a
b
c
d
e
24 : 18
16 : 12 : 20
1.5 : 2.7
1
:
85 cm : 1.2 m
4
3
Solve
Think
Apply
24 : 18 = 4 : 3
a
24 : 18 = 4 : 3
Ratios are simplifi ed
(dividing each term by 6)
by multiplying or
Calculator:
dividing each term by
18 =
_
b
a
Press: 24
d/c
SHIFT
c
the same number.
Display is
4 | 3
16 : 12 : 20 = 4 : 3 : 5
b
16 : 12 : 20 = 4 : 3 : 5 (dividing each term by 4)
1.5 : 2.7 = 15 : 27
c
1.5 : 2.7 = 15 : 27 (multiplying both terms by 10)
= 5 : 9
= 5 : 9
(dividing each term by 3)
7 __
2 __
3 _
2 _
7 _
2 _
3 _
2 _
=
× 12
× 12
=
× 12
× 12
d
1
:
:
1
:
:
4
3
4
3
4
3
4
3
( multiplying each term by the lowest common
= 21 : 8
denominator: 12)
= 21 : 8
85 cm : 1.2 m = 85 : 120
e
85 cm : 1.2 m = 85 cm : 120 cm (same units)
= 17 : 24
= 17 : 24 (dividing each term by 5)
EXERCISE 2H
1
The table shows the number of each type of vehicle that
Type of vehicle
Number
passes the front of a school in an hour.
Car
54
Write the ratio of the number of:
Truck
13
a
b
cars to trucks
trucks to cars
c
d
motorcycles to cars
trucks to buses
Motorcycle
7
e
cars to trucks to motorcycles
Bus
4
f
trucks to motorcycles to buses.
Other
2
Chapter 2
Units of measurement and applications
61
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