Units Of Measurement Worksheets Page 26
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32WoRKEd ExaMPlE 22
Zhong and Hasam invest money in a business. Zhong
invests $25 000 and Hasam invests $30 000.
What is the ratio of these investments?
a
If the business makes a profi t of $33 000 in the fi rst
b
year, how much should each of the partners receive?
THINK
WRITE
$25 000 : $30 000
a
1
Write down the whole ratio.
a
2
Divide by the HCF (5000).
5: 6
11 shares = $33 000
b
1
Sum the parts and make this equal to
b
$33 000.
1 share = $3000
2
Divide $33 000 by 11 to fi nd 1 share.
5 shares = $15 000
3
Zhong receives 5 shares so multiply
1 share by 5.
6 shares = $18 000
4
Hasam receives 6 shares so multiply
1 share by 6.
5
Give a written answer.
Zhong’s share is $15 000 and Hasam’s share is
$18 000.
REMEMBER
1.
A ratio is a comparison of two quantities of the same type.
2.
To be compared, both quantities need to be in the same unit.
3.
Ratios can be simplifi ed by dividing each part by the highest common factor (HCF).
4.
To divide a quantity in a given ratio, we calculate the value of one share before
calculating each part of the ratio.
5.
To do most ratio problems you will need to know your basic measurement facts.
ExERCIsE
Using ratios
2F
1
Fully simplify each of the following ratios.
WE 20
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a
$20 : $4
b
50 cm : 45 cm
c
300 g : 800 g
d
e
f
560 km : 240 km
35 t : 21 t
375 mL : 500 mL
Digital doc
g
h
i
15c : 80c
4 weeks : 52 weeks
800 mm : 550 mm
SkillSHEET 2.6
j
k
l
1250 mL : 300 mL
80 cm : 1 m
$1 : 60c
doc-1466
m
1 kg : 250 g
n
400 mL : 1 L
o
40 min : 1 h
Simplifying
ratios
p
q
r
$4 : 20c
750 kg : 2 t
900 L : 3 kL
s
t
u
3 min : 45 s
600 g : 10 kg
1.25 L : 500 mL
v
$10 : $6.50
w
3.6 km : 800 m
x
3 t : 450 kg
70
Maths Quest General Maths Preliminary Course
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