Question

tine ip the Colemans leit. The answer is reasonable. 7) ae URTURN II _ The Smiths spend 8% of their budget on entertainment. Their total budget this year is $2,000 more than last year, and this year they plan to spend$3,840 on entertainment. What was their total budget last year? a

Solution

VerifiedLet $x$ be the total budget last year so that their total budget this year is $x+2000$.

$$$$

Since the Smiths spend 8% of their budget in entertainment and will spend $3840 this year, then we can write:

$0.08(x+2000)=3840$

Divide both sides by 0.08:

$x+2000=48000$

Subtract 2000 from both sides:

$x=46000$

So, the Smiths’ total budget last year was **$46,000.**

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