Tom found a box of 220 baseball cards. Being a thoughtful older brother, he wanted to save at least 80 percent of the cards for himself and split the remaining cards evenly among his 4 younger brothers. What is the lowest possible number of cards that Tom can save for himself that will also allow each of his 4 younger brothers to get an equal number of cards?
Choose the most appropriate option:
A) 110 B) 112 C) 116 D) 118 E) 122
This question can be easily solved by looking at the options.   Assuming number of cards to be x   We need to find the option for which (1/4)*(4x/5) is an integer   Or x/5 is an integer.   Hence we need the lowest multiple of 5 from the given options.   Let us start from the lowest value:   Option A: 110. This is a multiple of 5 Hence the correct answer.   Correct Option: 110
<result>A</result>
Tom found a box of 220 baseball cards. Being a thoughtful older brother, he wanted to save at least 80 percent of the cards for himself and split the remaining cards evenly among his 4 younger brothers. What is the lowest possible number of cards that Tom can save for himself that will also allow each of his 4 younger brothers to get an equal number of cards?