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5. A 30 kg bag of fertiliser is labelled 15-20-10. These numbers mean that the contents
in this bag of fertiliser contain 15% nitrogen, 20% phosphorus and 10% potassium
by mass. The remaining 55% is made up of micronutrients and other fillers.
(a) Find the ratio of nitrogen to phosphorus to potassium.
(b) Calculate the mass, in kg, of the contents of nitrogen, phosphorus and potassium
in the bag.

4.5 Relationship between Ratios, Rates and Proportions, with CHAPTER
Percentages, Fractions and Decimals

4
What is the relationship between percentages LEARNING
and ratios? STANDARDS
Determine the
relationship between
A percentage is a fraction with a denominator of 100. percentages and ratios.

3 Individual

Aim: To determine the relationship between percentages and ratios.

1. Copy and complete the table below.

A B C

The ratio of the
number of shaded The percentage of the The percentage of the
Diagram
squares to the number shaded squares unshaded squares
of unshaded squares
A

B
C

2. Based on the results in the table above, discuss the relationship between
percentages and ratios.

93
Ratios, Rates and Proportions

04 TB Math F1.indd 93 11/10/16 12:12 PM