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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.