A school plans to spend twice the amount it did last year on its winter dance, less the cost of the disco ball which was $150, since they have it from last year. A total of $1,500 is being spent this year. Fill in the blanks to write an equation that will determine the amount of last year’s budget, a

Question

A school plans to spend twice the amount it did last year on its winter dance, less the cost of the disco ball which was $150, since they have it from last year. A total of $1,500 is being spent this year. Fill in the blanks to write an equation that will determine the amount of last year’s budget,  a

GPT 3.5 · Answer

Let x be the amount the school spent on the winter dance last year.

The school plans to spend twice the amount it did last year on its winter dance, so the planned budget for this year is 2x.

However, the cost of the disco ball from last year needs to be subtracted from the budget for this year, so the equation is:

2x - 150 = 1500

Simplifying this equation, we get:

2x = 1650

Dividing both sides by 2, we find:

x = 825

Therefore, the amount of last year's budget was $825.