At Joe's Grocery, you can buy hot dogs only in packages of 4 or packages of 7. As a result, you can't buy exactly 9 hot dogs sin
ce it is not possible to combine packages of 4 and 7 to get exactly 9 hot dogs. What's the largest possible number of hot dogs that you can't get exactly by buying these hot dog packages at Joe's?
To determine, the largest possible number of hot dogs that you can't get exactly by buying these hot dogs is to determine the LCM ( lowest common multiple of 4 and 7 ) and add 1 to it
LCM of 4 and 7 = 1 * 2 * 2 * 7 = 28
Highest number that combining 7 and 4 packages can't give = 28 + 1 = 29
