Question

the smiths spend 9% of their budget on entertainment. Their total budget this year is $3,000 more than last year, and this year they plan to spend $4,770 on entertainment. What was their total budget last year?

Answer 1

The total budget of last year is $50,000 .

Explanation:

Given as :

The percentage of budget spend on entertainment = 9%

The total budget of this year = $3000 more than that of last year

The money that will be spend this year on entertainment = $4770

Let The total budget of last year = $A

Let The total budget of this year = $B

Now, According to question

Percentage of budget spend on entertainment × total budget of this year = money that will be spend this year on entertainment

Or, 9 % × $B = $4770

Or,
`(9)/(100)` × B = 4770

∴ B =
`(4770* 100)/(9)`

i.e B = $53,000

So,The total budget of this year = B = $53,000

Again

∵ The total budget of this year = $3000 more than that of last year

i.e The total budget of this year = $3000 + total budget of last year

Or, B = $3000 + A

Or, A = B - $3000

Or, A = $53,000 - $3,000

∴ A = $50,000

So,The total budget of last year = A = $50,000

Hence, The total budget of last year is $50,000 . Answer