year 8 maths

290 Chapter 5 Ratios and rates
ENRICHMENT
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21
A fair share
21 Three students, Ramshid, Tony and Manisha, enter a group Geography competition.
• Ramshid spends 5 hours preparing the PowerPoint presentation.
• Tony spends 3 hours researching the topic.
• Manisha spends 2 1 hours designing the poster.
2
Their group wins second place in the competition and receive a prize of $250 .
Ramshid, Tony and Manisha decide to share the prize money in the ratio 3 : 2 : 1 .
a How much money does each student receive? Round the answer to the nearest cent.
b If the prize money is divided up according to the time spent on the project, what would be the new
ratio? Write the ratio in whole numbers.
c How much money does each student receive with the new ratio? Round the answer to the nearest
cent.
d Although she spent the least time on the project, Manisha would prefer to divide the prize
according to time spent. How much more money does Manisha receive with the new ratio?
e Tony prefers that the original ratio remains. How much is Tony better off using the original ratio?
f Which ratio would Ramshid prefer and why?
g The group ends up going with a ratio based on time spent but then round the amounts to the
nearest $10 . How much prize money does each student receive?
Cambridge Maths NSW
Stage 4 Year 8 Second edition
ISBN 978-1-108-46627-1 © Palmer et al. 2018
Cambridge University Press
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