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The Smiths spend 12% of their budget on entertainment. Their total budget this year is $2,000 more than last year, and this year they plan to spend $5,640 on entertainment. What was their total budget last year?

Respuesta :

MrsStrong

Answer:

45,000

Step-by-step explanation:

We can create a proportion to find last year's budget. A proportion is an equation where two ratios are set equal to each other. We create two fractions using the budget and percents.

[tex]\frac{12}{100} =\frac{5640}{x}[/tex]


We begin solving by cross multiplying numerator to denominator of each fraction.


[tex]12(x)=100(5640)\\12x=564000\\\frac{12x}{12}=\frac{564000}{12}  \\47000=x[/tex]


This is the budget for this year. However this budget is 2000 more than last year.

47000=2000=45000 is last years budget.

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