For Questions 6 to 17, show your working clearly in the space provided for each question and write your answers in the spaces provided. The number of marks available is shown in brackets [ ] at the end of each question or part-question. For questions which require units, give your answers in the units stated.

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A school is collecting money for a donation drive. $\frac{1}{2}$ of the students in the school donated $3. $\frac{2}{5}$ of them donated $4. The rest of the students donated $5. A total of $9000 in donation is collected from the school. How many students are there in the school? Ans: ___

1. Find the fraction of students who donated $5.

Fraction of students who donated $5 =$1 - \frac{1}{2} - \frac{2}{5} = 1 - \frac{5}{10} - \frac{4}{10} = \frac{1}{10}$

2. Calculate the total donation collected from a hypothetical group of 10 students (1 unit of students).

Let the total number of students be $10$ units.
Number of students donating $3 = 5$ units.
Number of students donating $4 = 4$ units.
Number of students donating $5 = 1$ unit.
Total donation for $10$ units of students = $(5 \times \char36{}3) + (4 \times \char36{}4) + (1 \times \char36{}5) = \char36{}15 + \char36{}16 + \char36{}5 = \char36{}36$

3. Find the total number of students by comparing the hypothetical total donation to the actual total donation.

Number of groups of $10$ students = $9000 \div 36 = 250$
Total number of students = $250 \times 10 = 2500$