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Pachacha [2.7K]
3 years ago
14

Due to the economy and not wanting to eliminate any jobs, all state employees were asked to accept a 4.5% reduction in their sal

aries. If the reduction to a state secretary's salary was $1890, what was the secretary's salary prior to the reduction?
Mathematics
1 answer:
jeka943 years ago
7 0

Answer: The secretary's salary prior to the reduction was $42,000.

Step-by-step explanation:

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

The original secretary's salary (x) multiplied by the percentage reduction in decimal form (4.5/100) must be equal to the amount of the reduction (1890)

Mathematically speaking:

x (4.5/100)= 1890

Solving for x:

x (0.045)= 1890

x = 1890/ 0.045

x = 42,000

The secretary's salary prior to the reduction was $42,000.

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27% of the students in a school are in grade 6. This is 540 students. How many students are in the school?
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There are a total of 2,000 students in the school.

1.) There are 540 students in the 6th grade. 540 is only 27% of students compared to the total. To find the total students in the whole school, we divide 540 by 27%.

2.) We first change 27% into a decimal by moving the point two times to the left. (Rule to change the percent into a decimal)

27% = .27

3.) Before we divide, we remove the decimal by moving the decimal two times to the right and so do we to 540.

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4.) Now we have 54000 divided by 27 which give us the answer of 2,000.

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