Final answer:
Using the ratio 5:4 and given that savings are $9000, the monthly income of the family is calculated to be $11250, and expenses are found to be $2250.
Step-by-step explanation:
The question asks us to find the monthly income and expenses for a family given that the ratio of income to savings is 5:4 and that the actual amount of savings is $9000. To solve this, we start by setting up a proportion using the ratio provided:
- Income : Savings = 5 : 4
- Income / Savings = 5 / 4
- Income / $9000 = 5 / 4
By cross-multiplying, we find that:
- Income = ($9000 × 5) / 4
- Income = $11250
Now, let's calculate the expenses. Expenses can be found by subtracting savings from the income:
- Expenses = Income - Savings
- Expenses = $11250 - $9000
- Expenses = $2250
Hence, the monthly income is $11250, and the expenses are $2250.