[Question]Melody planted sunflowers from two different seed packets. She found that the sunflowers from Packet A were 20% taller than the sunflowers from Packet B. If the sunflowers from Packet A were 192 inches tall, how tall were the sunflowers from Packet B?
[Answer]The height of the sunflowers from Packet A is the same as the height of the sunflowers from Packet B + 20%. If Y represents the height of the sunflowers from Packet B, Y + 0.20Y = the height of sunflowers from Packet A. We know the height of the sunflowers from Packet A is 192 inches = Y + 0.20Y or 1.2Y. To figure out Y, we would divide both sides of the equation by 1.2, like this: 192 / 1.2 = 1.2Y / 1.2 or 160 = Y. The answer is 160.
Q: The movie theater sells matinee tickets for $5, evening tickets for $12, and 3D tickets for $20. If they sell 200 matinee tickets, 300 evening tickets and 100 3D tickets, how much money do they make in total?
A: First find the total revenue from the matinee tickets: $5 / ticket * 200 tickets = $1000. Then find the total revenue from the evening tickets: $12 / ticket * 300 tickets = $3600. Then find the total revenue from the 3D tickets: $20 / ticket * 100 tickets = $2000. Then add the cost of each group of tickets to find the total cost: $1000 + $3600 + $2000 = $6600. The answer is 6600.
Question: Sammy has 2 more bottle caps than Janine. Janine has 3 times as many bottle caps as Billie. If Billie has 2 bottle caps, how many does Sammy have?
Answer: Janine has 2 * 3 = 6 bottle caps. Sammy has 6 + 2 = 8 bottle caps. The answer is 8.
[Question]Based on a 2008 study, children 6–11 years old spend 45 minutes each day watching television. How many hours do these children watch television in 2 weeks if they are allowed to watch television 4 days a week?
[Answer]The children watch a total of 45 x 4 = 180 minutes in a week. In hours, this is equal to 180 / 60 = 3 hours a week. Thus, these children watch 3 x 2 = 6 hours in two weeks. The answer is 6.
Q: In a glee club, there are two times as many female than male members. How many female members are there if there are 18 members in the club?
A: The club has a female group which has twice as many members as the male group, so there are 2 + 1 = 3 groups in the club. There are 18 members in the club, which means there are 18 / 3 = 6 members per group. Since the number of female members consists of two groups, then there are 6 * 2 = 12 female members in the club. The answer is 12.
Question: Peyton Manning throws a football 20 yards when the temperature is 50 degrees Fahrenheit, but the ball moves twice as far when the temperature is 80 degrees Fahrenheit. Last Saturday, the temperature was 50 degrees Fahrenheit, and he threw the ball twenty times. On Sunday, the temperature rose to 80 degrees Fahrenheit, and he threw the ball 30 times. Calculate the total number of yards he threw the ball in the two days.
Answer:
On Saturday, he threw the ball 20 times, and since the temperature was 50 degrees, he could throw only 20 yards, totaling 20 * 20 = 400 yards. On Sunday, the temperature favored him, and he threw the ball twice the distance he could throw on Saturday, which is 2 * 20 = 40 yards. If he threw the ball 30 times, he threw for 30 * 40 = 1200 yards. In the two days, he threw 1200 + 400 = 1600 yards. The answer is 1600.