Student Council has a budget of for the homecoming dance.

They have spent dollars for music.

a.

Write an equation to represent the amount of money left to spend.

Let represent the amount of money remaining.

Then the total amount would be the plus the amount remaining .

The equation is .

                         (Original equation)

      (Subtract  from each side)

                                  (Apply additive inverse property: )

Student Council has remaining to spend on decorations and food.

b.

They then spent  on decorations.

Find the amount of money left.

Let represent the amount of money remaining.

Then the total amount would be the plus and the amount remaining .

The equation is .

               (Original equation)

                         (Add left side terms)

     (Subtract  from each side)

                                  (Apply additive inverse property: )

Student Council has to spend on food.

c.

If the Student Council spent their entire budget,

Find how many tickets they must sell to make a profit.

Let represent the number of tickets.

Then tickets equal to .

The equation is .

                                  (Original equation)

                             (Divide on each side by )

                              (Simplify)

.

Student Council must sell tickets to make a profit.

a.Student Council has remaining to spend on decorations and food.

b.Student Council now has to spend on food.

c. Student Council must sell tickets to make a profit.