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1. The ratio of monthly income to the savings in a family is 5:4. If the savings be $9000, find the income and the expenses.​

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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.

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