Question: Jason bought 4 dozen cupcakes. He plans to give 3 cupcakes each to his cousins. How many cousins does Jason have?
Answer: Since a dozen is equal to 12, then Jason bought 12 x 4 = 48 cupcakes. So, Jason has 48 / 3 = 16 cousins. The answer is 16.
[Question]A rectangle has a length of 3 inches and a width of 6 inches. A square has a width of 5 inches. What is the difference in area between the two shapes?
[Answer]The area of the rectangle is 3 x 6 = 18 sq in. The area of the square is 5 x 5 = 25 sq in. The difference is 25 - 18 = 7 sq in. The answer is 7.
Q: Chrystal’s vehicle speed is 30 miles per hour. Ascending the mountain decreases its speed by fifty percent, and descending the mountain increases its speed by twenty percent. If the distance going to the top of the mountain is 60 miles and the distance going down to the foot of the mountain is 72 miles, how many hours will Crystal have to pass the whole mountain?
A: The vehicle's speed decreases to 30 x 0.50 = 15 miles per hour when ascending to the top of the mountain. So, the total time Crystal will have to spend going to the top of the mountain is 60 / 15 = 4 hours. And the speed of the vehicle increases by 30 x 0.20 = 6 miles per hour when going down to the foot of the mountain. So, the total speed of the vehicle when going down is 30 + 6 = 36 miles per hour. Thus, Chrystal will have to spend 72 / 36 = 2 hours to descend from the mountain. Therefore, the total hours she will spend to pass the whole mountain is 4 + 2 = 6 hours. The answer is 6.
Question: Mr. Langsley commutes to work every day by bus. The bus picks him up at 6:00 a.m. and takes forty minutes to arrive at the first station. If Mr. Langsley arrives at work at 9:00 a.m., what's the total time taken in minutes from the first station to Mr. Langsley's workplace?
Answer: The total time taken for the whole journey is 9:00 - 6:00 = 3 hours. The total time taken in minutes is 3 * 60 = 180 minutes. If it takes 40 minutes to reach the first station, then the rest of the journey takes 180 - 40 = 140 minutes. The answer is 140.
[Question]While cultivating a small farm, a farmer spent $50 on corn seeds, $35 on fertilizers and pesticides, and $15 on labor. After a successful harvest, he was able to gather 10 bags of corn. How much should he sell each bag, if he wants to make a profit of 10%?
[Answer]His total expenditure so far is $50 + $35 + $15 = $100. To make a profit of 10%, he has to make a total of $100 + ($100 * (10 / 100) = $110 from sales. To make $110 from the sales of 10 bags, each bag should cost $110 / 10 = $11. The answer is 11.
[Question]Kyle goes to basketball practice every day for 2 hours. At practice he spends half of the time shooting and the rest of the time running and weight lifting. If he runs for twice the time he spends weightlifting, how much time in minutes does he spend lifting weight?
[Answer]
Half of the 2 - hour practice is for running and weightlifting, so the time for running and weight lifting is 1 / 2 * 2 hours = 1 hour. If the time he lifts weights is x, then the time he runs is 2x. So the time for running and weight lifting is x + 2x = 3x = 1 hour. Thus 3x = 60 minutes. Thus x = 60 / 3 = 20 minutes spent weight lifting. The answer is 20.