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Ludmilka [50]
3 years ago
8

Christy is paid time-and-half hours worked in excess for 40 hours and double time for hours worked on Sunday. If Christy had gro

ssed weekly wages of $592 for working 54 hours, 6 of which were on Sunday, what is her regular hourly rate?
Mathematics
1 answer:
Tamiku [17]3 years ago
7 0

Answer:

$9.25/hr

Step-by-step explanation:

Let regular hourly rate be "x"

Total hours worked = 54

6 of which are on Sunday (paid TWICE)

54 - 6 = 48

So, hours over 40 are:

48 - 40 = 8 hours (PAID 1.5 times)

So,

40 hours paid "x"

8 hours paid (1.5x)

6 hours paid (2x)

Which totals 592

We can write:

40x + 8(1.5x) + 6(2x) = 592

Now we can solve this for x to get our answer:

40x + 8(1.5x) + 6(2x) = 592\\40x+12x+12x=592\\64x=592\\x=\frac{592}{64}\\x=9.25

The regular hourly rate is $9.25/hr

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Answer:

x = 41.67

Step-by-step explanation:

The above equation, would be simplified or divided into parts;

Therefore, the given equation becomes;

A/x = B/C

Where;

A = (15.2*0.25-48.51/14.7)

B = (13/44-2/11-5/66/2.50)1.2

C = 3.2+0.8(5.5-3.25)

x = unknown variable.

<u>Part A</u>

(15.2*0.25-48.51/14.7) = (15.2*0.25 - 3.3)

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A = 0.5

<u>Part B</u>

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B = 0.09 * 1.2

B = 0.108

<u>Part C</u>

(3.2+0.8(5.5-3.25)

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C = 9

<em>Substituting the values into the equation, we have;</em>

0.5/x = 0.108/9

<em>Cross-multiplying, we have;</em>

9 * 0.5 = 0.108x

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x = 4.5/0.108

x = 41.67

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