Question: A garden is filled with 105 flowers of various colors. There are twice as many red flowers as orange. There are five fewer yellow flowers than red. If there are 10 orange flowers, how many pink and purple flowers are there if they have the same amount and there are no other colors?
Answer: The number of red flowers is twice as many as orange so 2 * 10 orange = 20 red flowers. The number of yellow flowers is 5 less than red so 20 red - 5 = 15 yellow flowers. The number of red, orange and yellow flowers is 20 red + 10 orange + 15 yellow = 45 flowers. The number of pink and purple flowers total is 105 flowers total - 45 flowers that are not pink or purple = 60 flowers. The number of pink and purple flowers each is 60 flowers / 2 = 30 flowers each. The answer is 30.
[Question]Andy is checking to see if all the cars in the parking lot paid for their parking. 75% of the cars have valid tickets, and 1/5th that number have permanent parking passes. If there are 300 cars in the parking lot, how many people tried to park in the lot without paying?
[Answer]First find how many cars have valid tickets: 75% * 300 cars = 225 cars. Then find the percentage of cars with parking passes: 75% / 5 = 15%. Then multiply that number by the total number of cars to find the number with parking passes: 15% * 300 cars = 45 cars. Then subtract all the cars with valid forms of parking to find the number parked illegally: 300 cars - 225 cars - 45 cars = 30 cars. The answer is 30.
Q: John buys 2 packs of gum and 3 candy bars. Each stick of gum cost half as much as the candy bar. If the candy bar cost $1.5 each, how much did he pay in total?
A: The gum cost $1.5 / 2 = $.75 per pack. So he pays $.75 * 2 = $1.5 for the gum. He pays $1.5 * 3 = $4.5 for the candy bars. So in total, he pays $1.5 + $4.5 = $6. The answer is 6.
Question: Adam goes to a small school, which teaches 80 students in three classes. 40% of the students are in class A, and class B has 21 students fewer than class A. The rest are in class C. How many students are in this class?
Answer: In class A, there are 40 / 100 * 80 = 32 students. In class B, the number of students is less by 21, which means class B has 32 - 21 = 11 students. That means 80 - 32 - 11 = 37 students are in class C. The answer is 37.
[Question]Lilia has 15 peaches. She sold 10 peaches to her friends for $2 each, while 4 other peaches were sold to her relatives for $1.25 each, and she left the other one for herself. How much did she earn after selling 14 peaches?
[Answer]Lilia earned 10 x $2 = $20 for selling the peaches to her friends. She also earned 4 x $1.25 = $5 for selling the peaches to her relatives. Therefore, Lilia earned $20 + $5 = $25 for selling 14 peaches. The answer is 25.
[Question]Chester must deliver ten bales of hay to Farmer Brown. Farmer Brown wants Chester to supply better quality hay and double the delivery of bales of hay. If the previous hay cost $15 per bale, and the better quality one cost $18 per bale, how much more money will Farmer Brown need to meet his own new requirements?
[Answer]
The hay previously cost $15 per bale so 10 bales would cost $15 * 10 = $150. Double 10 bales is 10 * 2 = 20 bales. Better quality hay cost $18 per bale so 20 bales would cost $18 * 20 = $360. Farmer Brown would need $360 - $150 = $210 more. The answer is 210.