Question

The Smiths spend 10% of their budget on entertainment. Their total budget this year is $2,000 more than last year, and this year they plan to spend $2,450 on entertainment. What was their total budget last year?

Answer 1

$22500

Explanation:

First, we have to find the total budget for this year.

They spend 10% on entertainment and $2450 will be spent on entertainment this year.

Let the total budget this year be x. Therefore:

`(10)/(100) * x = 2450`

Simplifying:

`10x = 2450 * 100 \\\\10x = 245000\\\\x = 245000 / 10`

=> x = $24500

Their total budget of this year is $24500.

Since they will spend $2000 more this year than last year, we have to deduct $2000 from this year's budget to find last year's.

This means that their budget last year was:

$24500 - $2000 = $22500

Their budget last year was $22500.