Question. Rick has 130 cards. He decided to only keep 15 cards and so he gave Miguel some of the cards. Then, he saw 8 friends and decided to give them 12 cards each, and the remaining cards were given equally to his 2 sisters. If each of Rick's sisters got 3 cards, how many cards did Rick give to Miguel?
Answer. 13
What step-by-step reasoning justifies that answer?
Reasoning: After keeping 15 cards, Rick had 130 cards - 15 cards = 115 cards left. The total number of cards given by Rick to his 8 friends was 8 friends x 12 cards / friend = 96 cards. There were 2 sisters x 3 cards / sister = 6 cards given to Rick's sisters. So, there were 96 cards + 6 cards = 102 cards left after Rick gave Miguel some cards. Therefore, 115 cards - 102 cards = 13 cards were given to Miguel.