Answer: Their total budget last year was $44,000.
Step-by-step explanation:
Given: Smiths spend 6% of their budget on entertainment.
Total budget this year = $ 2000 more than last year.
Let x = Budget for this year.
Money on entertainment = 0.06x = 2760
[tex]\Rightarrow\ x=\dfrac{2760}{0.06}= \$46,000[/tex]
⇒ Budget for this year = $ 46,000
Budget for last year = $ 46,000 - $2,000 = $44,000
Hence, their total budget last year was $44,000.