[Question]Kris is blowing u balloons for her sister's party. She has 30 minutes to blow up as many balloons as possible and decides to enlist her brother's help to increase the number of balloons. Kris can blow up a total of 2 balloon per minute, and her brother works twice as fast. After 15 minutes, her brother doubles his speed and works at this new speed for the remaining 15 minutes. After the 30 minutes, how many balloons, in total, did Kris and her brother blow up?
[Answer]Throughout the 30 minutes, Kris blows up 2 balloons per minute * 30 minutes = 60 balloons. Her brother works at double Kris' speed in the first 15 minutes so he works at 2 balloons per minute * 2 = 4 balloons per minute. So in the first 15 minutes, he blows up 4 balloons per minute * 15 minutes = 60 balloons. In the second 15 minutes, he is working at double the rate he did previously, so he blows up 4 balloons per minute * 2 = 8 balloons per minute. In the second 15 minutes, Kris' brother therefore blows up 8 balloons per minute * 15 minutes = 120 balloons. Throughout the 30 minutes, he has blown up a total of 60 + 120 = 180 balloons. Kris and her brother therefore blew up a total of 60 balloons from Kris + 180 balloons from Kris' brother = 240 balloons. The answer is 240.
Q: In a triangle with angles A, B, and C, A is 60 degrees, and B is two times as big as C. Calculate the angle of B.
A: Since the angles in a triangle adds up to 180, and A is 40 degrees, B and C have a total of 180 - 60 = 120 degrees. Since B is two times bigger than C, the total of the angles of B and C is equal to 2C + C = 120. 3C = 120. The angle of C is C = 120 / 3. C is 40. Since B is two times as big as C, B is 2 * 40 = 80 degrees. The answer is 80.
Question: Belinda can throw a ball at a speed of 20 feet/second. If the ball flies for 8 seconds before hitting the ground, and Belinda's border collie can run 5 feet/second, how many seconds will it take the border collie to catch up to the ball?
Answer: First find the total distance the ball flies: 20 feet / second * 8 seconds = 160 feet. Then divide that distance by the dog's speed to find how long it takes the dog to catch up to the ball: 160 feet / 5 feet / second = 32 seconds. The answer is 32.
[Question]Seth lost 17.5 pounds. Jerome lost three times that many pounds and Veronica lost 1.5 pounds more than Seth. How many pounds did the 3 people lose in total?
[Answer]Seth = 17.5 pounds. Jerome = 3 * 17.5 = 52.5 pounds. Veronica = 17.5 + 1.5 = 19 pounds. Total = 17.5 + 52.5 + 19 = 89 pounds. The 3 people lost a total of 89 pounds. The answer is 89.
Q: John's shirt cost 60% more than his pants. His pants cost $50. How much was John's outfit?
A: John's pants cost 50 * .6 = $30 more than his pants. So his shirt cost 50 + 30 = $80. So in total he spent 80 + 50 = $130. The answer is 130.
Question: Simon wanted to buy flowers that his mom could plant for Mother's Day. The garden center was offering 10% off all purchases. He bought 5 pansies at $2.50 each, one hydrangea that cost $12.50 and 5 petunias that cost $1.00 each. If he paid with a $50 bill, how much change would Simon receive back from his purchase?
Answer:
5 pansies at $2.50 each is 5 * 2.50 = $12.50. 5 petunias at $1.00 each 5 * 1 = $5.00. All total he spends 12.50 + 12.50 + 5.00 = $30.00. The sale is 10% off so 30 * .10 = $3.00. The purchase total now comes to 30 - 3 = $27.00. He pays with a $50 bill so 50 - 27 = $23.00. The answer is 23.