Monthly expenses

John's monthly expenses are analyzed as follows: 1/8 for stationery, 1/3 for fuel, 1/6 for parking, and the rest for food. His total expenses are 4500. Calculate the rand value of the food expenses.

Final Answer:

x =  1687.5 USD

Step-by-step explanation:

$$\begin{gathered} t=4500\text{USD} \\ e=\frac{1}{8}+\frac{1}{3}+\frac{1}{6}=\frac{3}{24}+\frac{8}{24}+\frac{4}{24}=\frac{3+8+4}{24}=\frac{15}{24}=\frac{5}{8}=0.625 \\ f=1-e=1-\frac{5}{8}=\frac{1\cdot 8}{8}-\frac{5}{8}=\frac{8}{8}-\frac{5}{8}=\frac{8-5}{8}=\frac{3}{8}=0.375 \\ x=f\cdot t=\frac{3}{8}\cdot 4500=\frac{3\cdot 4500}{8}=\frac{13500}{8}=\frac{3375}{2}\text{USD}=1687.5\text{USD} \end{gathered}$$

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