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Becky will receive $1474 more if her salary is increased by 22%. Becky's pay was 50% less than Hannah's salary. Find out Hannah's salary.

Question

Becky will receive $1474 more if her salary is increased by 22%. Becky's pay was 50% less than Hannah's salary. Find out Hannah's salary.

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Solution 1

Let's break down the problem step by step.

  1. Determine Becky's current salary:

    • Let Becky's current salary be B B .
    • If Becky's salary is increased by 22%, she will receive $1474 more.
    • This can be written as: 0.22B=1474 0.22B = 1474 .
  2. Solve for Becky's salary:

    • B=14740.22 B = \frac{1474}{0.22} .
    • B=6700 B = 6700 .
  3. Relate Becky's salary to Hannah's salary:

    • Becky's pay was 50% less than Hannah's salary.
    • This means Becky's salary is 50% of Hannah's salary.
    • Let Hannah's salary be H H .
    • Therefore, B=0.5H B = 0.5H .
  4. Solve for Hannah's salary:

    • 6700=0.5H 6700 = 0.5H .
    • H=67000.5 H = \frac{6700}{0.5} .
    • H=13400 H = 13400 .

So, Hannah's salary is $13,400.

This problem has been solved

Solution 2

Let's break down the problem step by step.

  1. Determine Becky's current salary:

    • Let Becky's current salary be B B .
    • An increase of 22% in Becky's salary is given as $1474.
    • Therefore, 0.22B=1474 0.22B = 1474 .
  2. Solve for Becky's salary:

    • B=14740.22 B = \frac{1474}{0.22} .
    • B=6700 B = 6700 .
  3. Relate Becky's salary to Hannah's salary:

    • Becky's salary is 50% less than Hannah's salary.
    • This means Becky's salary is half of Hannah's salary.
    • Let Hannah's salary be H H .
    • Therefore, B=0.5H B = 0.5H .
  4. Solve for Hannah's salary:

    • 6700=0.5H 6700 = 0.5H .
    • H=67000.5 H = \frac{6700}{0.5} .
    • H=13400 H = 13400 .

So, Hannah's salary is $13,400.

This problem has been solved

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