There are 2,000 kids in camp. If half of the kids are going to soccer camp, and 1/4 of the kids going to soccer camp are going to soccer camp in the morning, how many kids are going to soccer camp in the afternoon? Give the rationale and then the answer.
Let's think step by step. There are 2000 / 2 = 1000 kids going to soccer camp. There are 1000 / 4 = 250 kids going to soccer camp in the morning. There are 250 * 3 = 750 kids going to soccer camp in the afternoon.. The answer is: 750.

A large gathering occurred at the town hall with 200 people participating. 100 people decided to have a snack, and then 20 new outsiders joined in to have a snack. Half of these snack eaters got full and left. 10 new outsiders came to have snacks, too. 30 more snack eaters got their fill and left. Then half of the remaining snack eaters left later on. How many snack eaters are left? Give the rationale and then the answer.
Let's think step by step. At the meeting, 200 - 100 = 100 people decided to have a snack. 20 new people came in to snack and the area had 100 + 20 = 120 of them eating. 120 / 2 = 60 people got full and left. 10 more new people came to join in the snacking so 60 + 10 = 70 people were eating. After 30 people left, 70 - 30 = 40 people who were eating remained. In the end, only 40 / 2 = 20 kept eating.. The answer is: 20.

The cost of transporting 80 bags of cement, each weighing 50 kgs, is $6000. What's the cost of transporting three times as many cement bags, each weighing 3/5 times as many kgs? Give the rationale and then the answer.
Let's think step by step. Three times as many cement bags is 3 * 80 = 240 cement bags. If a bag of cement weighs 50 kg, 3 / 5 times as much weight is 3 / 5 * 50 = 30 kgs. If the cost of transporting 80 bags of cement, each weighing 50 kgs, is $6000, the cost of transporting one bag of cement weighing 50 kg is $6000 / 80 = $75. Since a bag weighing 50 kgs costs $75 to transport, a bag weighing 30 kgs will cost 30 * $75 / 50 = $45 to transport. The cost of transporting 240 cement bags each weighing 30 kgs is $45 * 240 = $10800.. The answer is: 10800.