Question 871111: Joe is paid $9.50 per hour. His first 36 hours are paid at normal rates. If he works
overtime during the week or works on Saturday, he is paid time-and-a-half. If he
works on Sunday he gets double time. In a week in which he is paid $570, calculate
how many hours of time-and-a-half and double time he possibly could have worked
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website! Joe is paid $9.50 per hour. His first 36 hours are paid at normal rates. If he works
overtime during the week or works on Saturday, he is paid time-and-a-half. If he
works on Sunday he gets double time. In a week in which he is paid $570, calculate how many hours of time-and-a-half and double time he possibly could have worked
9.50*36 +1.5*9.50x +2*9.5y=570
342+14.25x+18y=570
57/4 x +18y=228
multiply by 4
57x+72y=912
57x=912-72y
x= 16-72/57 *y
x has to be a whole number . Assuming he does not work for half hours
so 72/57 * y has also to be a whole number
this possible only when y =0
so x = 16 & y =0
one half times ------- hours 16
and two times ----------0 hours
lets check the possibility
9.50*36 +1.5*9.50x +2*9.5y
342 + 14.25 *16 +0
342+228
570
570=570
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