The Smiths spend 10% of their budget on entertainment. Their total budget this year is $3,000 more than last year, and this year they plan to spend $5,000 on entertainment. What was their total budget last year?

Question

Mathematics

Mylie Zimmerman

14 December, 12:10

The Smiths spend 10% of their budget on entertainment. Their total budget this year is $3,000 more than last year, and this year they plan to spend $5,000 on entertainment. What was their total budget last year?

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Answers (1)

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Michaela · Answer 1

Answer: $47,000

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

Their total budget this year is $3,000 more than last year, so we have to add 3000 to their total budged of last year (x). x+3000

Since they spend 10% of their budget on entertainment, we have to multiply the previous expression by the percentage in decimal form (divided by 100).

(x + 3000) 10/100 = (x+3000) 0.1

Finally, that expression must be equal to the amount that they will spend in entertainment this year (5000).

(x + 3000) 0.1 = 5000

Solving for x:

x+3000 = 5000/0.1

x + 3000 = 50,000

x = 50,000-3,000

x = $47,000

Feel free to ask for more if needed or if you did not understand something.