A man purchased $510 worth savings bonds in denominations of $15 and $30, including at least 1 of each denomination. He gave away 8 of the bonds as gifts but then lost all the rest of the bonds he had purchased. If the number of $30 bonds he gave away was a multiple of the number of $15 bonds he gave away, what was maximum possible value of the bonds that he lost?	Select
A) 180
B) 225
C) 285
D) 300
E) 330
Let the number of 15$ bonds given be x, then the number of 30$ bills given = kx, where k is an integer.   Thus, x+kx = 8 --&gt; x(1+k) = 8. Thus, we could have   x = 1, k=7 --&gt; The value left with him = 510 - (15+210)= 
<gadget id="calculator">510 - (15+210)</gadget>
<output>285</output>
285   x= 8,k =0 --&gt; The value left with him = 510 - (120)= 
<gadget id="calculator">510 - (120)</gadget>
<output>390</output>
390   x=4, k =1 --&gt; The value left with him = 510 - (60+120)= 
<gadget id="calculator">510 - (60+120)</gadget>
<output>330</output>
330   x=2,k=3 --&gt; The value left with him = 510 - (30+180)= 
<gadget id="calculator">510 - (30+180)</gadget>
<output>300</output>
300   Thus, the answer is 330.
<result>E</result>
A man purchased $510 worth savings bonds in denominations of $15 and $30, including at least 1 of each denomination. He gave away 8 of the bonds as gifts but then lost all the rest of the bonds he had purchased. If the number of $30 bonds he gave away was a multiple of the number of $15 bonds he gave away, what was maximum possible value of the bonds that he lost?