Math Problem Statement

Which equation can be used to find b, the minimum amount of money the family must earn annually to meet this budget?

Solution

The problem presents a budget table with monthly expenses for a family. The goal is to determine the total annual amount they must earn, represented as bb, to meet their budget.

Monthly expenses:

  • Mortgage Payment: $800
  • Food: $600
  • Transportation: $360
  • Childcare: $540
  • Health Insurance: $750
  • Miscellaneous: $580

Total monthly expenses:

800+600+360+540+750+580=3,630800 + 600 + 360 + 540 + 750 + 580 = 3,630

Thus, the family spends $3,630 per month.

Annual expense calculation:

To find the total annual expenses, we multiply the monthly total by 12: b=3,630×12=43,560b = 3,630 \times 12 = 43,560

So, the equation to find bb is b=3,630×12b = 3,630 \times 12, which corresponds to option A in the provided answer choices.

Would you like further explanation or have any questions?

Here are 5 related questions:

  1. How would the calculation change if one of the expenses increased?
  2. What is the formula for calculating weekly expenses from annual income?
  3. How do you convert a daily budget into an annual total?
  4. What would be the new total if health insurance costs dropped by $50 monthly?
  5. How can this budget be adjusted if the family wants to save 10% of their income?

Tip: Always break down larger financial problems by calculating monthly totals first, then annual totals for easier budgeting.

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Math Problem Analysis

Mathematical Concepts

Basic Arithmetic
Annual Expense Calculation

Formulas

Annual Expense = Monthly Expense × 12

Theorems

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Suitable Grade Level

Grades 6-8