SOLUTION: Shawn earns an hourly wage plus tips. One week, he worked 12 hours and earned $117. The next week he worked 10 hours and earned the same amount of tips as he earned the previous we

Question 904682: Shawn earns an hourly wage plus tips. One week, he worked 12 hours and earned $117. The next week he worked 10 hours and earned the same amount of tips as he earned the previous week for a total of $110. What is Shawn's hourly wage.
Answer by AlgebraLady88(44) (Show Source): You can put this solution on YOUR website!
We are told that Shawn earns an hourly wage plus tips. So, there are two parts to his pay : hourly wage (hw) and tips (tps).
We can write out two equations to solve this problem, making this a 2 by 2 equation with variables hw and tps.

12hw + tps = 117 (a)
10hw + tps = 110 (b)
We are going to multiply the second equation by -1
-10hw -tps = -110 (c)
Now according to the rules of 2 by 2 equations, we can add equations (a) and (c)
which gives us
2hw = 7
hw = 7/2= 3 1/2 or 3.5
So, we can see the hourly wage is $ 3.50 .
Since the tips both weeks are the same, we have
The first week :
12( 3.50) + 75 = 117
The second week :
10 ( 3.50) + 75 = 110

RELATED QUESTIONS
rajah earns an hourly wage plus tips. one week he worked 12hrs and made a total of $117.... (answered by ewatrrr)

Soledad worked 48 hours one week and earned a $442 paycheck. She earns time and a half... (answered by rfer)

Soledad worked 48 hours one week and earned a $442 paycheck. She earns time and a half... (answered by Tatiana_Stebko)

Jeane worked 45 hours one week and earned a $380.00 paycheck. She earns time and a half... (answered by josmiceli)

Max worked at a restaurant where he is paid by the hour plus time-and-a-half for his... (answered by greenestamps)

chucks overtime wage is $3 per hour more than his regular hourly hourly wage. he worked... (answered by Charles1947)

A workman's basic hourly wage is $12, but he receives one and a half times his hourly... (answered by stanbon)

Julio is paid 1.4 times his normal hourly rate for each hour he works over 30 hours in a... (answered by josmiceli)

Soledad worked 48 hr one week and earned $442 paycheck. She earns time and a half for... (answered by jorel1380)