3. John spends R2 000 of his salary on rent, R1 000 on food and other R4 500 is used to cover all his other expenses. a) What percentage of his salary is spent on food? b) What fraction of his salary is spent on rent?

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UpStudy AI · Accepted Answer

To find the percentage of John's salary spent on food and the fraction of his salary spent on rent, we need to first determine the total amount of his salary.

Let's denote John's salary as $$ S $$.

Given:
- Rent: R2 000
- Food: R1 000
- Other expenses: R4 500

Total expenses = Rent + Food + Other expenses
Total expenses = R2 000 + R1 000 + R4 500
Total expenses = R7 500

Now, we can calculate the percentage of his salary spent on food and the fraction of his salary spent on rent.

a) Percentage of salary spent on food:
Percentage = (Food / Total salary) * 100
Percentage = (R1 000 / R7 500) * 100

b) Fraction of salary spent on rent:
Fraction = Rent / Total salary
Fraction = R2 000 / R7 500

Let's calculate these values.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(\frac{10000}{75000}ight)	imes 100$$
- step1: Reduce the fraction:
  $$\frac{2}{15}	imes 100$$
- step2: Reduce the numbers:
  $$\frac{2}{3}	imes 20$$
- step3: Multiply:
  $$\frac{2	imes 20}{3}$$
- step4: Multiply:
  $$\frac{40}{3}$$
a) The percentage of John's salary spent on food is $$ \frac{40}{3} $$ or 13.33%.

b) The fraction of John's salary spent on rent is $$ \frac{2000}{7500} $$ or $$ \frac{4}{15} $$.
a) John spends 13.33% of his salary on food. b) John spends $$ \frac{4}{15} $$ of his salary on rent.

John spends R2 000 of his salary on rent, R1 000 on food and
other R4 500 is used to cover all his other expenses.
a) What percentage of his salary is spent on food?
b) What fraction of his salary is spent on rent?

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