Fractions And Percentages Worksheet Page 7
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28MEP Pupil Text 11
11.3 Quantities as Percentages
To answer questions such as,
Is it better to score 30 out of 40 or 40 out of 50?
it is helpful to express the scores as percentages.
Worked Example 1
Express '30 out of 40' and '40 out of 50' as percentages. Which is the better score?
Solution
30
40
'30 out of 40' can be written as
and '40 out of 50' can be written as
.
40
50
Changing these fractions to percentages,
30
30
40
40
=
×
=
×
100
%
and
100
%
40
40
50
50
= 75%
= 80%
So '40 out of 50' is the better score, since 80% is greater than 75%.
Worked Example 2
A pupil scores 6 out of 10 in a test. Express this as a percentage.
Solution
6
'6 out of 10' can be written as
. Changing this fraction to a percentage,
10
6
6
=
×
=
100
%
60
%
.
10
10
Worked Example 3
Robyn and Rachel bought a set of CDs for £20. Robyn paid £11 and Rachel paid £9.
What percentage of the total cost did each girl pay?
Solution
Robyn paid £11 out of £20, which is
11
11
=
×
=
100
%
55
%
.
20
20
Rachel paid £9 out of £20, which is
9
9
=
×
=
100
%
45
%
.
20
20
240
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