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Find out the hourly wage of your friend when your friend the same amount on Wednesday as on Friday if my friend is a waitress and her income consists of an hourly wage plus tips. On Wednesday your friends earned25in tips over a 5hour period and on Friday, her income is 30.76in tips over a 3hour period.

Short Answer

Expert verified

The hourly wage of my friend is$2.88 .

Step by step solution

01

Step  1 .Apply the concept of Linear equation 

In this type of question, use the concept of making the linear equation & do various mathematical operation.

02

Step  2 .Finding the equation by explaining the question

Since,

It is given that, the tip on Wednesday is =25

The tip on Friday is =30.76 .

Number of Hours on Wednesday is given =5 hours.

Number of Hours on Friday is given =3 hours.

Let the hourly wage of the friend be x.

Now, On Wednesday, the friend works 5 hours and gets a tip of25 . So the total amount earned on Wednesday is, the equation be:$5x+25

Again, On Friday, the friend works 3 hours and gets a tip of$30.76 . So the total amount earned on Friday is, the equation be:$3x+30.76 .

The equation should be make in the form of below lines:

It is given that the amount earned on Wednesday = amount earned on Friday.

03

Step  3 .Finding the value of x.

Now, the equation be like that$5x+25=$3x+30.76

Simply take the variable and constant in separate side and then do mathematical operations.

$5x+25=$3x+30.765x−3x=30.76−252x=5.76x=5.762x=$2.88

The hourly wage is $2.88.

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