Question: Lillian is making chocolate cupcakes to sell at a fundraiser. She only has 3 cups of sugar at home. She goes to the store and buys 2 bags of sugar. Each bag of sugar contains 6 cups. The batter uses 1 cup of sugar per 12 cupcakes. She needs 2 cups of sugar to make enough frosting for a dozen cupcakes. How many dozen cupcakes can she bake and ice with the sugar she has?
Answer: Step-by-step reasoning process: The bags of sugar which she bought contain 2 * 6 = 12 cups. In total, she has 12 cups + 3 cups = 15 cups of sugar to use. She needs 1 cup + 2 cups = 3 cups of sugar to make the batter and frosting for a dozen cupcakes. Lillian has enough sugar to bake and ice 15 / 3 = 5 dozen cupcakes.
So the answer is 5.

Question: Jordan decides to start an exercise program when he weighs 250 pounds. For the first 4 weeks, he loses 3 pounds a week. After that, he loses 2 pounds a week for 8 weeks. How much does Jordan now weigh?
Answer: Step-by-step reasoning process: He loses 3 pounds a week for 4 weeks for a total of 3 * 4 = 12 pounds. He loses 2 pounds a week for 8 weeks for a total of 2 * 8 = 16 pounds. All total he has lost 12 + 16 = 28 pounds. Jordan weighed 250 pounds and has lost 28 pounds so he now weighs 250 - 28 = 222 pounds.
So the answer is 222.

Question: Toby held a garage sale to raise money to support friends who have lost their jobs. Of all the items that he sold during the garage sale, three of the items he sold made up 75% of the total amount of sales money he earned. He sold a treadmill for $100, a chest of drawers for half as much as he made for selling the treadmill, and he sold a television for three times what he earned for selling the treadmill. What is the total sum of money, in dollars, that Toby made at the garage sale?
Answer: Step-by-step reasoning process: The chest of drawers sold for half as much as the treadmill, for a price of $100 / 2 = $50. The television sold for three times what he earned for the treadmill, for a price of $100 * 3 = $300. For the three items, he raised $100 + $50 + $300 = $450. If $450 is 75% of the total sum of money that Toby made at the garage sale, then the total amount is $450 / (75 / 100) = $600.
So the answer is 600.

Question: Hugo can fold a small box in 3 seconds and a medium one in twice that time. Tom can fold both the small and medium boxes in 4 seconds. If Hugo and Tom want to leave as early as possible, how long (in seconds) will it take them to fold 2400 small boxes and 1800 medium boxes?
Answer:
Step-by-step reasoning process: If it takes Hugo twice the amount of time to fold a medium box than a small box, then he needs 2 * 3 = 6 seconds for the medium box. If Tom can fold either the small or medium box in 4 seconds, then he's faster at folding the medium box than Hugo because 4s < 6s. If Hugo can fold the small box in 3 seconds, then he's faster at folding the small boxes than Tom because 3s < 4s. Therefore Hugo should fold all small boxes and Tom should fold all the medium ones before doing the other size where they are slower. If there are 2400 small boxes and Hugo can fold 1 box in 3 seconds, then it would take him 2400 * 3 = 7200 seconds to fold all boxes. If there are 1800 medium boxes and Tom can fold 1 box in 4 seconds, then it would take him 1800 * 4 = 7200 seconds to fold all medium boxes. Given that they need the same amount of time to fold all boxes, and are doing it simultaneously they will need 7200 seconds to fold all the boxes.
So the answer is 7200.