Inno earns P180 000.00 a year. If he 1 over 5 spends for food 1 over 8, for rent, 1 over 10✓ for clothing, and 1 over 20for recreation,

a. how much does he spend for each?

b. how much is his total expenses?

C. how much does he save?

d. what fractional part of his earnings is his savings?

Let's solve each part of the problem step by step.

### Given:
- Inno's total earnings per year = P180,000.00
- Fractions of earnings spent:
  - For food: \( \frac{1}{5} \)
  - For rent: \( \frac{1}{8} \)
  - For clothing: \( \frac{1}{10} \)
  - For recreation: \( \frac{1}{20} \)

### a. How much does he spend for each?

1. **Food**:
   \[
   \text{Amount spent on food} = \frac{1}{5} \times 180,000 = \frac{180,000}{5} = P36,000
   \]

2. **Rent**:
   \[
   \text{Amount spent on rent} = \frac{1}{8} \times 180,000 = \frac{180,000}{8} = P22,500
   \]

3. **Clothing**:
   \[
   \text{Amount spent on clothing} = \frac{1}{10} \times 180,000 = \frac{180,000}{10} = P18,000
   \]

4. **Recreation**:
   \[
   \text{Amount spent on recreation} = \frac{1}{20} \times 180,000 = \frac{180,000}{20} = P9,000
   \]

### b. How much is his total expenses?

Total expenses:
\[
\text{Total expenses} = P36,000 + P22,500 + P18,000 + P9,000 = P85,500
\]

### c. How much does he save?

Savings:
\[
\text{Savings} = \text{Total earnings} - \text{Total expenses} = 180,000 - 85,500 = P94,500
\]

### d. What fractional part of his earnings is his savings?

Fractional part of savings:
\[
\text{Fraction of savings} = \frac{94,500}{180,000} = \frac{21}{40}
\]

### Summary:
- **Amount spent on food**: P36,000
- **Amount spent on rent**: P22,500
- **Amount spent on clothing**: P18,000
- **Amount spent on recreation**: P9,000
- **Total expenses**: P85,500
- **Savings**: P94,500
- **Fractional part of earnings saved**: \( \frac{21}{40} \)

Would you like further details or have any questions?

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Here are 5 related questions to expand your understanding:
1. If Inno spends an additional \( \frac{1}{15} \) of his income on transportation, what would be his new savings?
2. What percentage of his income does Inno spend on food?
3. If Inno’s earnings increase by 10%, how much would he save with the same spending habits?
4. How would Inno's savings change if he decided to spend 10% more on clothing?
5. What is the total amount spent if Inno combines his expenses on clothing and recreation?

**Tip:** When dealing with fractional parts of a whole, it's often helpful to convert the fractions to percentages for easier comparison.

Learn how to calculate Inno's expenses and savings based on his annual income of P180,000. Understand fractional parts of income spent on food, rent, clothing, and recreation, and determine his total expenses and savings. Suitable for Grades 6-8.

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