SOLUTION: 2.adam works part time at a fast food restaurant that pay $x per hour while jenny works as a sales assistant in boutique that pays $(X+2) per hour adam work 8 hour more per week th

Question 388267: 2.adam works part time at a fast food restaurant that pay $x per hour while jenny works as a sales assistant in boutique that pays $(X+2) per hour adam work 8 hour more per week than jeeny and they each earn $192a week . find the value of x and the number of hours that adam work in a week
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
2.adam works part time at a fast food restaurant that pay $x per hour while jenny works as a sales assistant in boutique that pays $(X+2) per hour
----------------------------
adam work 8 hour more per week than jeeny and they each earn $192 a week.
----------------------------
find the value of x and the number of hours that adam works in a week
------------------------------
Adam DATA:
pay rate = x/hr ; salary = $192 ; time = 192/x hrs
-----
Jenny DATA:
pay rate = (x+2)/hr ; salary = 192 ; time = 192/(x+2) hrs
---------------------------------
Equation:
adam time - jenny time = 8 hrs
192/x - 192/(x+2) = 8
---
192(x+2) - 192x = 8x(x+2)
---
8x^2+16x-2*192 = 0
---
x^2 + 2x - 48 = 0
(x+8)(x-6) = 0
Positive solution: x = 6 hrs (hrs. Adam works in a week)
============================
Cheers,
Stan H.
RELATED QUESTIONS
1.a man sold x similar books for $132. if he had sold (x-1) books but charges $1 more for (answered by robertb)

Jenny gets paid $9 per hour working as a waiter at a local restaurant. Her boss also pays (answered by Theo)

Steve works at a restaurant. he earns 8.50 per hour. Steve works at least 10 hours and no (answered by stanbon)

Kayla works a total of 40 hours each week at two part-time jobs. She works at a... (answered by ewatrrr)

Using a 2 x 2 system of equations solve for: Wendy works two part time jobs to pay for (answered by josmiceli)

Sally and Adam work at different jobs. Sally earns $5 per hour and Adam earns $4 per... (answered by richwmiller)

Tiong Beng worked part time at a fast food restaurant during the school holidays. He was (answered by checkley77)

Sarah will babysit 4 times a month and typically get 20 dollars each time. She also works (answered by Theo)

Vince worked 18 hours last week. Part of the time he worked in a fast-food restaurant and (answered by ikleyn)