Chapter 1.9, Problem 4R

(a)

To determine

Write an equation to represent the amount of money left to expand and solve.

Answer to Problem 4R

  $\text{X = 2500}-\text{450}$ ; $\text{\$2050}$

Explanation of Solution

Given:

Student Council has a budget of $2500 for the homecoming dance. So, far, they have spent $450 dollars for music.

Concept Used:

The amount of money left to expand is the difference between the total budget and the amount spent so far for music.

Calculation:

Total Budget is $2500 and so far they have spent $450.

The amount of money left to expand is the difference between the total budget and the amount spent so far for music.

Let the amount of money left to expand = $\text{ \$X}$

Equation: $\text{X = 2500}-\text{450}$

Solve: $\text{X = 2500}-\text{450}$

  $\text{X = 2050}$

Thus, the amount $\text{\$2050}$ left to expand.

(b)

To determine

Write an equation to represent the amount of money left to expand and solve.

Answer to Problem 4R

  $\text{X = 2050}-\text{325}$ ; $\text{\$1725}$

Explanation of Solution

Given:

They then spent $325 on decoration. Write an equation to represent the amount of money left.

Concept Used:

After expense of $450 for music from the total budget, the money left $2050.

Now they spent $325 on Decoration.

Calculation:

Total Budget is $2500 and so far they have spent $450.

After expense of $450 for music from the total budget, the money left $2050.

The amount of money left to expand is the difference between the money left from the total budget and the expense for decoration $325.

Let the amount of money left to expand = $\text{ \$X}$

Equation: $\text{X = 2050}-\text{325}$

Solve: $\text{X = 2050}-\text{325}$

  $\text{X = 1725}$

Thus, the amount $\text{\$1725}$ left to expand.

(c)

To determine

Find the number of tickets they must sell to make a profit.

Answer to Problem 4R

  $\text{X}>\frac{1725}{15}$; $49$

Explanation of Solution

Given:

If the Student council spent their entire budget, write an equation to represent how many $15 tickets they must sell to make a profit.

Concept Used:

Total amount left is $1725. Each ticket cost $15.

Number of Ticket can be sold is

  $\frac{\text{Total}\text{amount}\text{left}}{\text{Cost}\text{of}\text{each}\text{ticket}}$

Calculation:

Let the number of ticket sold = X

For profit X >$\frac{\text{Total}\text{amount}\text{left}}{\text{Cost}\text{of}\text{each}\text{ticket}}$

Equation: $\text{X}>\frac{1725}{15}$

Solve: $\text{X}>\frac{1725}{15}$

  $\text{X}>48.33$

49 tickets must sell to make a profit

Thus, 49 tickets must sell to make a profit