Moses use of his salary on food and 1/2 of the remainder on clothes and he saved the rest. If he saved is. 240,000. What is his salary?

Let's denote Moses' salary as \( S \).

According to the problem:
1. Moses spends a portion of his salary on food.
2. After spending on food, half of the remaining amount is spent on clothes.
3. He saves the rest, which amounts to 240,000.

Let \( F \) be the amount Moses spends on food.

- After spending on food, the remainder is \( S - F \).
- He spends half of this remainder on clothes, so the amount spent on clothes is \( \frac{1}{2}(S - F) \).
- The rest is saved, which equals 240,000. The saved amount is the remaining half, i.e., \( \frac{1}{2}(S - F) \).

So, the equation for his savings is:
\[
\frac{1}{2}(S - F) = 240,000
\]
To find his salary, \( S \), let's solve the equation.

First, we multiply both sides by 2:
\[
S - F = 480,000
\]
Thus, his remaining money after food is 480,000.

Now, to express this in terms of his total salary \( S \), we need to consider how much he spends on food. Let me solve for \( S \) assuming he spends a certain fraction of his salary on food.

Let's assume Moses spends a fraction \( f \) of his salary on food.

The remainder after spending on food is \( S - fS = S(1 - f) \). From this, Moses spends half of the remainder on clothes and saves the other half. The amount saved is 240,000, so:
\[
\frac{1}{2} \times S(1 - f) = 240,000
\]
Multiplying both sides by 2:
\[
S(1 - f) = 480,000
\]
Thus, Moses' salary \( S \) is:
\[
S = \frac{480,000}{1 - f}
\]

To find the exact value of \( S \), we need the value of \( f \), the fraction of salary Moses spends on food. Would you like to specify the fraction Moses spends on food, or should we continue solving assuming a particular fraction, such as 1/3 or 1/4?

Learn how to calculate Moses' salary based on his savings and expenses. Understand the mathematical approach to solving problems involving fractions, savings, and expenditures. Suitable for students in Grades 6-8.

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