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 twuenty iron coins and thuenty copper coins, how many different sums from 1¢ to 140¢ can he make with a combination of his coins?	Pick one:
A) 137  B) 140  C) 166  D) 136  E) 2
The total sum is 20*2 + 20*5= 
<gadget id="calculator">20*2 + 20*5</gadget>
<output>140</output>
140¢. If you can make each sum from 1 to 140 (1¢, 2¢, 3¢, ..., 140¢), then the answer would be 140 (maximum possible).   Now, with 2¢ and 5¢ we cannot make 1¢ and 3¢. We also cannot make 139¢ and 137¢ (since total sum is 140¢ we cannot remove 1¢ or 3¢ to get 139¢ or 137¢).   So, out of 140 sums 4 are for sure not possible, so the answer must be   140 - 4= 
<gadget id="calculator">  140 - 4</gadget>
<output>136</output>
136 sums or less. Only A fits.   Answer: 136.
<result>D</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 twuenty iron coins and thuenty copper coins, how many different sums from 1¢ to 140¢ can he make with a combination of his coins?