Number And Algebra - Chapter 7 Applying Ratios And Rates - Nelson Think Math Page 17
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32Chapter
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7
8 9 10 11 12
Applying ratios and rates
2
Write the following as ratios, simplifying if necessary.
Worked solutions
a
A class of 10 boys and 15 girls
Exercise 7.2
b
A box of chocolates with 25 hard centres and 15 soft
MAT08NAWS00024
c
The angle sum of a rectangle to that of a triangle
See Example 9
d
An angle of 30° compared with a right angle
e
The days in a week to the days in February (non-leap year)
f
A chessboard with 12 white and 8 black pieces
3
Write the following ratios in simplest form.
See Example 9
a
8 : 16
b
12 : 6
c
6 : 30
d
12 : 14
e
15 : 24
f
44 : 33
g
24 : 32
h
80 : 25
i
35 : 42
Fluency
4
Write the following ratios in simplest form.
a
0.5 : 2
b
1.2 : 0.3
c
2.4 : 0.4
See Example 9
d
3.5 : 7.5
e
0.001 : 0.1
f
1.2 : 6
g
1.6 : 0.04
h
2.5 : 4.5
i
10 : 2.25
5
Write the following ratios in simplest form, changing units as necessary.
See Example 9
a
50c : $2
b
4 m : 150 cm
c
750 mL : 2.5 L
d
2 days : 1 week
e
2.4 km : 900 m
f
$1.20 : 80c
g
3.6 L : 27 mL
h
4.5 min : 180 s
i
350 kg : 4.2 t
6
Write the following ratios in simplest form.
See Example 9
1
1
3
1
a
: 2
b
1 :
c
:
2
4
4
2
7
2
1
5
2
1
d
:
e
1
:
f
: 2
9
3
4
8
3
6
1
9
4
3
1
1
g
1
:
h
: 2
i
4
: 2
2
10
5
10
2
2
7
Write the following ratios in the form . . . : 1, rounding to 1 decimal place if necessary.
See Example 10
a
150 : 50
b
240 : 48
c
112 : 560
d
1245 : 231
e
24 980 : 4790
f
3291 : 15 289
8
Write the following ratios in the form 1 : . . ., rounding to 1 decimal place if necessary.
See Example 10
a
24 : 36
b
45 : 81
c
124 : 93
d
80 : 188
e
345 : 287
f
4380 : 23 670
9
For each of the following, find the total number of parts and the value of 1 part.
See Example 10
a
20 pets are cats and dogs in the ratio 2 : 3.
b
100 g of cat food has meat and fish in the ratio 4 : 6.
c
2800 sports fans support the Reds and the Blues in the ratio 11 : 9.
d
56 000 viewers watch commercial channels and the ABC in the ratio 6 : 1.
e
An 800 g jumper contains wool and acrylic in the ratio 4 : 1.
f
108 minutes of a television show consist of programs and commercials in the ratio 7 : 2
10
Share the following amounts as stated.
See Example 10
a
$24 in the ratio 1 : 2
b
81 kg in the ratio 4 : 5
c
124 mL in the ratio 1 : 3
d
84 cm in the ratio 5 : 2
254
9780170214148
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