Adam's wardrobe is too crowded so he decides to donate some of his clothes to a charity shop. He takes out 4 pairs of pants, 4 jumpers, 4 pajama sets (top and bottom), and 20 t-shirts, then asks his friends if they have anything they want to donate. 3 of his friends donate the same amount of clothing as Adam each. Then he takes another look over his clothing and decides that he actually wants to keep half of his clothes. How many articles of clothing are being donated in total? Give me reasons, before answering the question
As pajama sets are made up of a top and a bottom, there are 4 pajama sets * 2 = 8 articles of clothing from Adam's donation. In total, Adam is donating 4 pairs of pants + 4 jumpers + 8 pajama pieces + 20 t - shirts = 36 articles of clothing. Together, the 3 friends donate a total of 36 articles of clothing per friend * 3 friends = 108 articles of clothing. Adam changes his mind and takes back half, which means he is now actually donating 36 / 2 = 18 articles of clothing. There is therefore now a total of 108 + 18 = 126 articles of clothing being donated. So the final answer is 126.