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.
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- sk
If Bob produces 36 or fewer items in a week,
OA is E.
As per my understanding, it should be C.
As per my understanding, it should be C.
- suk
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
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
- RonPurewal
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suk Wrote: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
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.
i like this problem.
- RonPurewal
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- Posts: 19744
- Joined: Tue Aug 14, 2007 8:23 am
guest Wrote:can u pls explain the second part a bit more in detail.i did not understand that part.
sure.
if bob produces 32 items at $15 each, that's a total of $480, as stipulated by statement (1).
however, because he hasn't reached the threshold level of 36 items yet, bob will still only get $15 per item for the 33rd and 34th items. adding these on, we get a total of $510, as required.
7 posts Page 1 of 1