Tom found a box of 220 baseball cards. Being a thoughtful older brother, he wanted to save at least 20 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 correct answer
A) 110 B) 112 C) 116 D) 118 E) 120
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)*(x/5) is an integer   Or x/20 is an integer.   Hence we need the lowest multiple of 20 from the given options.   Let us start from the lowest value:   Option A: 110. This is not a multiple of 20   Option E: 120 = 20*6. This is a multiple of 20. Hence the correct answer.   Correct Option: 120
<result>E</result>
Tom found a box of 220 baseball cards. Being a thoughtful older brother, he wanted to save at least 20 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?