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erik [133]
3 years ago
6

Sandra saves 12% of her salary for retirement. This year her salary was $3000 more than in the previous year, and she saved $420

0. What was her salary in the previous year?
Mathematics
1 answer:
Jet001 [13]3 years ago
3 0

The previous year's salary is x.

This year's salary is x + 3000.

12% of this year's salary is $4200.

12% * (x + 3000) = 4200

0.12(x + 3000) = 4200

x + 3000 = 35,000

x = 32,000

Answer: Her salary in the previous year was $32,000.

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1) Use letters to identify the variables:

Number of trumpets: t
Number of clarinets: c

2) Translate each statement into algebraic (mathematical) language.

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2.2) Trumpets cost $149 and clarinets cost $99

Total cost of the trumpets: 149t
Total cost of clarinets: 99c

Total cost = 149t + 99c

2.3) Total sales were $3223

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3) State the system of equations:

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Equation (2) 149t + 99c = 3223

4) Solve the system of equations:

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4.2) Subtract the equation (2) from the equation obtained in 4.1

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