Joanna bought only $0.15 stamps and $0.29 stamps. How many $0.15 stamps did she buy?
(1) She bought $4.40 worth of stamps.
(2) She bought an equal number of $0.15 stamps and $0.29 stamps.
OA is A
We can get an equation from choice 1 as
15x + 29Y = 440,
but how do we determine if the above equation has only one solution.
You have train yourself to test these problems. This is a GMAT trap for C. Red flags should go up b/c we arrive at C way to easily, in about 10 seconds or less u could get this answer. You should reanalyze.
S2: 15x+29y --> 15x+29x --> No help here.
S1: 15x+29y=440. You def recognize that 29 is a prime and in order to have 15x+29y = 440 evenly, we are going to have very limited choice(s). Hint hint.
Also recognize that the result of 440-29y must be divisble by 15. So we again narrow the choices here. Only 5, 10, 15, * 29 could meet our criteria b/c this would produce a 5 or 0 in the units digit of 440-29y.
Try 5. 29*5=145 440-145= 295. 295/15 is not an integer.
29*10=290. 440-290=150. This works b/c 150/15=10
29*15 = 435 too big.
Thus only 10 works. A is the answer
Again. Always be wary of problems in which you arrive at the answer all too quickly.
Also notice that S2 is true in this case 29(10)+15(10)=440. x=y