a school plan to spend twice the amount it did last year on its winter dance less of the cost disco ball which was $150 since they have have it from last year a total of 1500 is being spent this year fill in the blanks to write an equation that will determine the amount of last years budget

1 answer

To determine the amount of last year's budget for the winter dance, we can set up an equation based on the information provided.

Let \( x \) represent last year's budget. According to the problem:

  1. The school plans to spend twice the amount it did last year on the winter dance, so this would be \( 2x \).
  2. The disco ball cost $150, and since they already have it, we can subtract this cost from the total budget for this year's dance.

The total amount being spent this year is $1500, so we can set up the equation as follows:

\[ 2x - 150 = 1500 \]

Now you can solve for \( x \) to find last year's budget.

Solve for \( x \):

  1. Add 150 to both sides:

\[ 2x = 1500 + 150 \]

\[ 2x = 1650 \]

  1. Divide both sides by 2:

\[ x = \frac{1650}{2} \]

\[ x = 825 \]

Thus, last year's budget was $825.