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.
Solution 1
Let's break down the problem step by step.
-
Determine Becky's current salary:
- Let Becky's current salary be .
- If Becky's salary is increased by 22%, she will receive $1474 more.
- This can be written as: .
-
Solve for Becky's salary:
- .
- .
-
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 .
- Therefore, .
-
Solve for Hannah's salary:
- .
- .
- .
So, Hannah's salary is $13,400.
Solution 2
Let's break down the problem step by step.
-
Determine Becky's current salary:
- Let Becky's current salary be .
- An increase of 22% in Becky's salary is given as $1474.
- Therefore, .
-
Solve for Becky's salary:
- .
- .
-
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 .
- Therefore, .
-
Solve for Hannah's salary:
- .
- .
- .
So, Hannah's salary is $13,400.
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