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```1.1B Numerical Reasoning
• The Big Day Out is a three day music festival.
At the Big Day Out audience members can
purchase “Green Days”. The organisers will use
all the income from these to buy carbon
credits. These carbon credits will be used to
purchase trees, which aims to offset the
carbon emissions from the event.
• The Big Day Out is a three day music festival.
At the Big Day Out audience members can
purchase “Green Days”. The organisers will use
all the income from these to buy carbon
credits. These carbon credits will be used to
purchase trees, which aims to offset the
carbon emissions from the event.
• This assessment activity requires you to
determine the minimum number of trees
that could be purchased using carbon credits
from the Big Day Out.
• Use the following information to find out the
minimum number of trees that could be
purchased using carbon credits from the Big
Day Out for the given year.
• In the solution of this problem you should:
• Show calculations, as appropriate, that you
have used in the solution of the problem;
• Use mathematical statements;
• Explain what you are calculating at each stage
of the solution.
• The quality of your discussion and reasoning
and how well you link this to the context will
determine the overall grade.
• The audience number at the Big Day Out was 19,000 (to the
nearest 1000);
• Big Day Out attendees can choose to purchase 0, 1, 2, or 3
”green days” when they buy their tickets. 23% of the
attendees purchased ”green days”;
• Of those who purchase “green days”, one quarter purchase
three days, one third purchase two days and the rest
purchase one day;
• One “green day” costs NZ\$1.34;
• A carbon credit costs US\$18.
• Exchange rate: US\$1= NZ\$1.33886 (October 2010);
• The organisers are able to buy 10 trees with every three
carbon credits.
Step 1
• Find out how many ‘Green’ days were bought
• The audience number at the Big Day Out was
19,000 (to the nearest 1000);
• Big Day Out attendees can choose to purchase
0, 1, 2, or 3 ”green days” when they buy their
tickets. 23% of the attendees purchased
”green days”;
• The audience number at the Big Day Out was
19,000 (to the nearest 1000);
• As this is rounded, the minimum audience
number was 18, 500
• The audience number at the Big Day Out was
19,000 (to the nearest 1000);
• As this is rounded, the minimum audience
number was 18, 500
• Big Day Out attendees can choose to purchase
0, 1, 2, or 3 ”green days” when they buy their
tickets. 23% of the attendees purchased
”green days”;
18500 ´ 0.23 = 4255
Of those who purchase “green days”, one
quarter purchase three days, one third purchase
two days and the rest purchase one day;
1ö
æ
(3 days) 3 ´ ç 4255 ´ ÷ = 3189
è
4ø
1ö
æ
(2 days) 2 ´ ç 4255 ´ ÷ = 2836
è
3ø
(1 day) 4255 - 1063 - 1418 = 1774
Total = 7799
Income
• One “green day” costs NZ\$1.34
7799 ´1.34 = \$10450.66
Conversion to \$US
• Exchange rate: US\$1= NZ\$1.33886 (October
2010);
10450.66
= \$7805.64
1.33886
Number of carbon credits
• A carbon credit costs US\$18.
7805.64
= 433
18
Number of trees
• The organisers are able to buy 10 trees with
every three carbon credits.
10
433 ´ = 1443
3
Estimate
• The organisers will be able to buy a minimum
of 1,400 trees.
Other considerations
• Exchange rate may change.
```