SOLUTION: Jack and Jill both have part time jobs. Last week, Jack worked 8 hours and Jill, 5 hours both of them earned a total of 800 pesos. This week, Jill worked 12 hours and Jack, 4 hour

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Jack and Jill both have part time jobs. Last week, Jack worked 8 hours and Jill, 5 hours both of them earned a total of 800 pesos. This week, Jill worked 12 hours and Jack, 4 hour      Log On


   

Question 1089650: Jack and Jill both have part time jobs. Last week, Jack worked 8 hours and Jill, 5 hours both of them earned a total of 800 pesos. This week, Jill worked 12 hours and Jack, 4 hours and they earned a total of 1250 pesos. How much is Jack's hourly rate?
Answer by ikleyn(52879) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let x = Jack, y = Jill.

Then the condition says

8x +  5y =  800,   (1)
4x + 12y = 1250.   (2)


Solve it by any method you know.


Unfortunately, when I tried to solve it, I got a non-integer solution,

which makes me to doubt in correctness of input data.