If Bob produces 36 or fewer items in a week, he is paid x dollars per item. If Bob produces more than 36 items in a week, he is paid x dollars per item for the first 36 items and 1 1/2(1.5) times that amount for every additional item. How many items did Bob produce last week?
(A) Last week Bob was paid a total of $480 for the items he produced that week.
(B) This week Bob produced 2 more items than last week and was paid a total of $510 for the items that he produced this week.




Both 1) and 2) can result in two equations
1. 36 items * 10 dollars + y items * 15 dollars = 480
As from 2) we know that USD 30 more were generated by selling 2 more items, USD 15 was the price per item, hence the resulting values
2. x items * 15 dollars = USD 510
x items = 510/15 = 34. Hence for 34 items, a constant price of 15 dollars was charged.
Hence USD 15 can be the price for less than 36 items as well.
Therefore both 1) and 2) are INSUFFICIENT, hence E
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well played. for the first case, it is ESSENTIAL that you calculate y, though: y = 8. unlike most DS equations, this one depends upon "y" being an integer; if you solve the equation and y turns out NOT to be an integer, then that's actually not a solution at all. because y actually works out to an integer, this is a legitimate second solution. so, to recap, this problem works out with EITHER (1) 36 items @ $10 each, 8 items @ $15 each, 2 add'l items @ $15 each OR (2) 32 items @ $15 each, 2 add'l items @ $15 each so, insufficient.
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ans is definitely E.............cos using both d stmt v r getting 2 valuessee take d value of X=15then from 1 stmt he made 32 items<36n again from 2 stmt he produces 2 more n correctly gets 510 for 34 items still<36 so no change in d value of X n it correctly sufices.....
now again see....take X=10then heproduced 36 items for $10 n 8 items for $15=1.5 X=360+120=480n d total items produced=36+8=44>36n from 2 stmt he made 2 more items so for 2 more he will get $30=2*15 cos d no. is alredy >36 so will get $15 for d subsequent items>36......so suffices.....
so from using both d stmts together we still get 2 values 32 n 44...
so correctly E....