Calculate The Total Budget And Then Fill In The Missing Percentages (to The Nearest Tenth).$\[ \begin{tabular}{|l|c|c|} \hline \multicolumn{1}{|c|}{\textbf{Item}} & \textbf{\$} & \textbf{\%} \\ \hline Contributions & \$175.76 & \\ \hline Housing &

by ADMIN 248 views

Introduction

Calculating the total budget and filling in missing percentages is an essential task in various fields, including finance, accounting, and business. In this article, we will guide you through the process of calculating the total budget and filling in missing percentages using a given table.

Understanding the Table

The table provided contains information about contributions and housing costs. The table has three columns: Item, $, and %. The Item column lists the categories, the $ column represents the costs in dollars, and the % column represents the percentages.

Item $ %
Contributions $175.76
Housing

Calculating the Total Budget

To calculate the total budget, we need to add up the costs of all the items. However, we are only given two items: contributions and housing. We will assume that the housing cost is not provided, and we need to calculate it.

Let's start by adding up the contributions cost.

Contributions Cost

The contributions cost is $175.76.

Housing Cost

We are not given the housing cost, but we know that the total budget is the sum of the contributions cost and the housing cost. Let's represent the housing cost as x.

Total Budget

The total budget is the sum of the contributions cost and the housing cost.

Total Budget = Contributions Cost + Housing Cost Total Budget = $175.76 + x

Filling in Missing Percentages

Now that we have the total budget, we can fill in the missing percentages. The total percentage should add up to 100%.

Let's represent the missing percentage as y.

Total Percentage

The total percentage is the sum of the contributions percentage and the housing percentage.

Total Percentage = Contributions Percentage + Housing Percentage Total Percentage = y + (x/Total Budget) * 100

Solving for x and y

We can now solve for x and y using the equations we have derived.

Equation 1

Total Budget = $175.76 + x

Equation 2

Total Percentage = y + (x/Total Budget) * 100

We can substitute Equation 1 into Equation 2 to get:

y + (x/($175.76 + x)) * 100 = 100

Simplifying the Equation

We can simplify the equation by multiplying both sides by ($175.76 + x):

y($175.76 + x) + 100x = 100($175.76 + x)

Expanding the Equation

We can expand the equation by distributing the terms:

y($175.76) + yx + 100x = 100($175.76) + 100x

Simplifying the Equation

We can simplify the equation by combining like terms:

$175.76y + yx + 100x = $17576 + 100x

Subtracting 100x from Both Sides

We can subtract 100x from both sides to get:

$175.76y + yx = $17576

Subtracting $175.76y from Both Sides

We can subtract $175.76y from both sides to get:

yx = $17576 - $175.76y

Dividing Both Sides by (y - 1)

We can divide both sides by (y - 1) to get:

x = ($17576 - $175.76y) / (y - 1)

Solving for y

We can solve for y by setting the numerator equal to zero:

$17576 - $175.76y = 0

Solving for y

We can solve for y by dividing both sides by -$175.76:

y = $17576 / $175.76

Simplifying the Equation

We can simplify the equation by dividing both sides by $175.76:

y = 100

Solving for x

Now that we have the value of y, we can substitute it into the equation for x:

x = ($17576 - $175.76y) / (y - 1)

Substituting y = 100

We can substitute y = 100 into the equation for x:

x = ($17576 - $175.76(100)) / (100 - 1)

Simplifying the Equation

We can simplify the equation by evaluating the expressions:

x = ($17576 - $17576) / 99

Simplifying the Equation

We can simplify the equation by combining like terms:

x = $0 / 99

Simplifying the Equation

We can simplify the equation by evaluating the expression:

x = $0

Housing Cost

The housing cost is $0.

Total Budget

The total budget is the sum of the contributions cost and the housing cost.

Total Budget = Contributions Cost + Housing Cost Total Budget = $175.76 + $0 Total Budget = $175.76

Filling in Missing Percentages

Now that we have the total budget, we can fill in the missing percentages. The total percentage should add up to 100%.

Let's represent the missing percentage as y.

Total Percentage

The total percentage is the sum of the contributions percentage and the housing percentage.

Total Percentage = Contributions Percentage + Housing Percentage Total Percentage = y + (x/Total Budget) * 100

Substituting x = $0

We can substitute x = $0 into the equation for Total Percentage:

Total Percentage = y + ($0/$175.76) * 100

Simplifying the Equation

We can simplify the equation by evaluating the expression:

Total Percentage = y + 0

Simplifying the Equation

We can simplify the equation by combining like terms:

Total Percentage = y

Solving for y

We can solve for y by setting the Total Percentage equal to 100:

y = 100

Contributions Percentage

The contributions percentage is 100% - y.

Contributions Percentage = 100% - y Contributions Percentage = 100% - 100% Contributions Percentage = 0%

Housing Percentage

The housing percentage is y.

Housing Percentage = y Housing Percentage = 100%

Conclusion

Introduction

In our previous article, we calculated the total budget and filled in the missing percentages using a given table. In this article, we will answer some frequently asked questions related to calculating the total budget and filling in missing percentages.

Q: What is the total budget?

A: The total budget is the sum of the contributions cost and the housing cost.

Q: How do I calculate the total budget?

A: To calculate the total budget, you need to add up the costs of all the items. In this case, we assumed that the housing cost was not provided, and we calculated it to be $0.

Q: What is the housing cost?

A: The housing cost is $0.

Q: How do I fill in the missing percentages?

A: To fill in the missing percentages, you need to add up the contributions percentage and the housing percentage. In this case, we assumed that the contributions percentage was 0%, and the housing percentage was 100%.

Q: What is the contributions percentage?

A: The contributions percentage is 0%.

Q: What is the housing percentage?

A: The housing percentage is 100%.

Q: Why did we assume that the housing cost was not provided?

A: We assumed that the housing cost was not provided because it was not given in the table.

Q: How do I calculate the housing cost?

A: To calculate the housing cost, you need to subtract the contributions cost from the total budget.

Q: What is the formula for calculating the housing cost?

A: The formula for calculating the housing cost is:

Housing Cost = Total Budget - Contributions Cost

Q: What is the formula for filling in the missing percentages?

A: The formula for filling in the missing percentages is:

Total Percentage = Contributions Percentage + Housing Percentage

Q: What is the total percentage?

A: The total percentage is 100%.

Q: How do I solve for the missing percentage?

A: To solve for the missing percentage, you need to set the total percentage equal to 100% and solve for the missing percentage.

Q: What is the formula for solving for the missing percentage?

A: The formula for solving for the missing percentage is:

Missing Percentage = 100% - Contributions Percentage

Conclusion

In this article, we answered some frequently asked questions related to calculating the total budget and filling in missing percentages. We provided formulas and explanations for calculating the housing cost and filling in the missing percentages.

Frequently Asked Questions

  • Q: What is the total budget?
  • A: The total budget is the sum of the contributions cost and the housing cost.
  • Q: How do I calculate the total budget?
  • A: To calculate the total budget, you need to add up the costs of all the items.
  • Q: What is the housing cost?
  • A: The housing cost is $0.
  • Q: How do I fill in the missing percentages?
  • A: To fill in the missing percentages, you need to add up the contributions percentage and the housing percentage.
  • Q: What is the contributions percentage?
  • A: The contributions percentage is 0%.
  • Q: What is the housing percentage?
  • A: The housing percentage is 100%.
  • Q: Why did we assume that the housing cost was not provided?
  • A: We assumed that the housing cost was not provided because it was not given in the table.
  • Q: How do I calculate the housing cost?
  • A: To calculate the housing cost, you need to subtract the contributions cost from the total budget.
  • Q: What is the formula for calculating the housing cost?
  • A: The formula for calculating the housing cost is: Housing Cost = Total Budget - Contributions Cost
  • Q: What is the formula for filling in the missing percentages?
  • A: The formula for filling in the missing percentages is: Total Percentage = Contributions Percentage + Housing Percentage
  • Q: What is the total percentage?
  • A: The total percentage is 100%.
  • Q: How do I solve for the missing percentage?
  • A: To solve for the missing percentage, you need to set the total percentage equal to 100% and solve for the missing percentage.
  • Q: What is the formula for solving for the missing percentage?
  • A: The formula for solving for the missing percentage is: Missing Percentage = 100% - Contributions Percentage