Math Problem Statement

The following table shows the minimum monthly expenses for Valarie's family. Monthly budget Type Amount Housing [$1{,}700] Food [$750] Child care [$760] Transportation [$1{,}500] Health care [$1{,}100] Other necessities [$860] Taxes [$830] Savings [$4{,}500] Valarie gets [4] paychecks per month. Which equation could we use to find [b], the minimum amount Valarie needs to earn per paycheck to meet their family's budget? Choose 1 answer: Choose 1 answer: (Choice A)
[12{,}000 \div 2 = b] A [12{,}000 \div 2 = b] (Choice B)
[12{,}000 \div 4 = b] B [12{,}000 \div 4 = b] (Choice C)
[12{,}000 \cdot 4 = b] C [12{,}000 \cdot 4 = b] (Choice D)
[12{,}000 \cdot 2 = b] D [12{,}000 \cdot 2 = b]

Solution

To find the minimum amount Valarie needs to earn per paycheck, we first need to calculate her total monthly expenses by adding all the amounts in the table.

Valarie's monthly expenses: 1,700+750+760+1,500+1,100+860+830+4,500=12,0001,700 + 750 + 760 + 1,500 + 1,100 + 860 + 830 + 4,500 = 12,000

Now that we know her total monthly expenses are $12,000, and she receives 4 paychecks per month, we divide the total monthly expenses by 4 to find how much she needs to earn per paycheck.

The equation we use is: 12,000÷4=b12{,}000 \div 4 = b

So, the correct choice is B.


Do you want more details on how the calculation works, or do you have any other questions? Here are 5 related questions for further practice:

  1. What is the total monthly expense if Valarie increases her housing budget by $200?
  2. If Valarie wants to save an additional $500 each month, how much would she need to earn per paycheck?
  3. How would the equation change if Valarie received only 2 paychecks per month instead of 4?
  4. What is the percentage of Valarie's monthly expenses that goes toward housing?
  5. If Valarie reduces her transportation expenses by $300, how much would she save per paycheck?

Tip: Always ensure all expenses are accounted for when calculating a budget to avoid surprises!

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Math Problem Analysis

Mathematical Concepts

Algebra
Budgeting
Division

Formulas

Total Monthly Expenses ÷ Number of Paychecks = Amount per Paycheck

Theorems

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Suitable Grade Level

Grades 6-8