Question

A college student's monthly expenses are analyzed as follows:
1/8 for stationery, 1/3 for fuel.1/6 for parking, and the rest for food. The students' total expenses for February amounted to R4500. Calculate the rand value of the food expenses.
Round off answer to 2 decimal places.

Answer 1

Explanation:

by using given data

$\frac{1}{8} \times 4500 + \frac{1}{3} \times 4500 + \frac{1}{6} \times 4500 + f \times 4500 = 4500 \\ \frac{1}{8} + \frac{1}{3} + \frac{1}{6} + f = 1 \\ \frac{3 + 8 +4 + 24f}{24} = 1 \\ 15 + 24f = 24 \\ f = \frac{9}{24} = \frac{1}{ \frac{8}{3} }$

3/8×4500=3×1125/2= 1.5×1125= 1687.5