Question

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

Answer 1

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:

\[
2x = 1500 + 150
\]

\[
2x = 1650
\]

2. Divide both sides by 2:

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

\[
x = 825
\]

Thus, last year's budget was $825.