Consider the question. Jonas is trying to expand his wardrobe. He has 20 pairs of socks, 5 pairs of shoes, 10 pairs of pants and 10 t-shirts. How many pairs of socks does he need to buy to double the number of individual items in his wardrobe?
What is the step-by-step reasoning process to arrive at the answer: 35?
First, we must recognize that all pairs of shoes and socks are actually two items each, whereas the pants and the t - shirts are individual items. Therefore there are 20 * 2 = 40 individual socks in 20 pairs of socks. Similarly, there are 5 * 2 = 10 individual shoes in 5 pairs of shoes. Therefore, Jonas has 40 + 10 + 10 + 10 = 70 individual items in his collection. To double this number, we perform 70 * 2 = 140. This means we need 140 - 70 = 70 new items to double the size. Since there are 2 individual socks in each pair, we take 70 / 2 = 35 new pairs of socks.