Matt is touring a nation in which coins are issued in two amounts, 2¢ and 5¢, which are made of iron and copper, respectively. If Matt has five iron coins and ten copper coins, how many different sums from 1¢ to 60¢ can he make with a combination of his coins?  Choose the correct choice from the following answers:
A) 30  B) 22  C) 56  D) 44  E) 48
The total sum is 5*2 + 10*5= 
<gadget id="calculator">5*2 + 10*5</gadget>
<output>60</output>
60¢. If you can make each sum from 1 to 70 (1¢, 2¢, 3¢, ..., 60¢), then the answer would be 60 (maximum possible).   Now, with 2¢ and 5¢ we cannot make 1¢ and 3¢. We also cannot make 59¢ and 57¢ (since total sum is 60¢ we cannot remove 1¢ or 3¢ to get 59¢ or 57¢).   So, out of 60 sums 4 are for sure not possible, so the answer must be   60 - 4= 
<gadget id="calculator">  60 - 4</gadget>
<output>56</output>
56 sums or less. Only A fits.   Answer: 56.
<result>C</result>
Matt is touring a nation in which coins are issued in two amounts, 2¢ and 5¢, which are made of iron and copper, respectively. If Matt has five iron coins and ten copper coins, how many different sums from 1¢ to 60¢ can he make with a combination of his coins?