Im just about done with MGMATs foundations of math book, and in the end-of-chapter drills there is a question that reads like this:
Arnaldo earns $11 for each ticket that he sells, and a bonus of $2 per ticket for each ticket he sells over 100. If Arnaldo was paid $2,400, how many tickets did he sell
As I interpret it:
Lets call the first 100 ticets t1, and all the additional past 100 we call t2.
He earns $11*t1 and "a bonus of $2 [per t2]". This, to me, reads as t2 = 11 + 2, since he (obviously) still earns the initial 11USD on top of the bonus amount. So in other words t2 = t1 + 2
11*t1 + (11+2)*t1 = 2400 ---> 24*t1 = 2400 ----> t1 = 1000
According to the OA, this is wrong. Their reasoning is:
total ticets sold = t
Ticets sold beyond 100 = (t - 100)
11t + 2(t - 100) = 2400 ---> 13t = 2600 ----> t = 200
But whats upp with 2(t - 100)?? As I interpret this... It means that "he only earns $2 for every ticket sold over 100" and I get that this reasoning is wrong but I need a much clearer and better explanation than the one given by the book. All help is greatly appreciated.