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A union contract specifies a \(6\) percent salary increase plus a \(\$450\) bonus for each employee. For a certain

Expert replies
by BTGmoderatorLU » Thu Jul 06, 2023 11:41 am

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Answers

A

B

C

D

E

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Difficulty

Source: Official Guide

A union contract specifies a \(6\) percent salary increase plus a \(\$450\) bonus for each employee. For a certain employee, this is equivalent to an \(8\%\) salary increase. What was this employee's salary before the new contract?

A. \(\$21500\)
B. \(\$22500\)
C. \(\$23500\)
D. \(\$24300\)
E. \(\$25000\)

The OA is B
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Source: — Problem Solving |

BTGmoderatorLU wrote:
Thu Jul 06, 2023 11:41 am
Source: Official Guide

A union contract specifies a \(6\) percent salary increase plus a \(\$450\) bonus for each employee. For a certain employee, this is equivalent to an \(8\%\) salary increase. What was this employee's salary before the new contract?

A. \(\$21500\)
B. \(\$22500\)
C. \(\$23500\)
D. \(\$24300\)
E. \(\$25000\)

The OA is B
Let \(x =\) original salary

\(6\%\) of \(x\) plus \(450\) dollars is the same as, or equals, \(8\%\) of \(x:\)

\(0.06x + 450 = 0.08x\)

\(0.02x = 450\)

\(\dfrac{450}{0.02} = 22,500\)

\(x\), original salary \(= \$22,500\)

Therefore, B
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