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2 votes
Marybeth works from home as a graphic designer. Recently she raised her hourly rate by 3% to cover increased costs. Her new hourly rate is $22.87. Find Marybeth’s previous hourly rate

2 Answers

3 votes
Rate= 3%
New #= $22.87
x= old number

EQUATION:
Original # + (Original # * %)= New #
plug in #s we know
x + (x * 3%)= $22.87

x + (x * 0.03)= $22.87
multiply inside parentheses first

x + 0.03x= $22.87
1.03x= $22.87

divide both sides by 1.03
x= $22.20

CHECK:
$22.20 + (22.20 * 0.03)= $22.87
22.20 + 0.67= 22.87
22.87= 22.87

ANSWER:
Her previous hourly rate was $22.20

Hope this helps! :)
User Dirk McQuickly
by
6.3k points
4 votes
22.87 - 0.6861 = 22.1839
Hope this helps
User Alexbea
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6.0k points