Math, hourly rate

Question

julio is paid 1.1 times his normal hourly rate for each hour he works over 29 hours in a week. Last week he worked 43 hours and earned $506.16. 

 

Enter and solve and equation to find julios normal hourly rate, r.   

 

the earnings equation is $506.16 = 

 

julios hourly rate is $        Per hour 

 

this is reasonable because working 43 hours at a rate of $11 per hour is 43 * 11=43(10+1)=430+43=      , and $    Is close to $506.16

Answer 1

Let R = Julio's hourly rate
His pay will be his normal rate times the normal hours (29 hrs) plus his over-time rate (1.1 * R) times the number of hours he worked over-time. (43 hrs - 29 hrs) 

506.16 = R(29) + 1.1R(43-29)

506.16 = 29*R + 15.4*R

506.16 = 44.4*R

506.16/44.4 = R

11.40 = R

So his hourly rate is $11.40 per hour