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

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