Q: 300 cows in a field are made up of male and female cows. There are twice as many females as males. Half the females are spotted, and half the males have horns. How many more females with spots are there than males with horns?
A: There are (300 / 3) x 2 = 100 x 2 = 200 females cows in the field. There are 200 / 2 = 100 male cows in the field. 200 / 2 = 100 female cows are spotted. 100 / 2 = 50 male cows have horns. There are 100 - 50 = 50 more females with spots than males with horns. The answer is 50.
Question: Gumball was counting his water intake for the previous week. He checked his list and saw that he had drank 60 liters of water for the week. He drank nine liters of water on Monday, Thursday and Saturday and 8 liters of water on Tuesday, Friday and Sunday. Unfortunately, no data was input on Wednesday. How many liters of water did he drink on Wednesday?
Answer: Gumball's total water intake on Monday, Thursday, and Saturday is 9 x 3 = 27 liters. And his total water intake on Tuesday, Friday, and Sunday is 8 x 3 = 24 liters. So his total water intake for 6 days is 24 + 27 = 51 liters. Therefore Gumball's water intake on Wednesday is 60 - 51 = 9 liters. The answer is 9.
[Question]There are many fish in the tank. One third of them are blue, and half of the blue fish have spots. If there are 10 blue, spotted fish, how many fish are there in the tank?
[Answer]There are 2 * 10 = 20 blue fish. There are 3 * 20 = 60 fish. The answer is 60.
Q: A child is making a 5-level pyramid by stacking some blocks. In the first row, he has 9 blocks. For the next rows, he has 2 less than the blocks he has from its bottom row. How many blocks did he use in all?
A: On the second row, he used 9 - 2 = 7 blocks. On the third row, he used 7 - 2 = 5 blocks. On the fourth row, he used 5 - 2 = 3 blocks. On the fifth row, he used 3 - 2 = 1 block. Therefore, he used a total of 9 + 7 + 5 + 3 + 1 = 25 blocks. The answer is 25.
Question: Peggy is moving and is looking to get rid of her record collection. Sammy says that he will buy all of them for 4 dollars each. Bryan is only interested in half of the records but will offer 6 dollars each for the half that he is interested in and 1 dollar each for the remaining half that he is not interested in with the hopes that he can resell them in bulk later. If Peggy has 200 records, what is the difference in profit between Sammy versus Bryan's deal?
Answer: Sammy is offering to take the whole collection of 200 records and pay Peggy 4 dollars each for them which would net Peggy 200 * 4 = 800 dollars for her entire record collection. Bryan is willing to buy Peggy's entire record collection but at two different price points, half at one point and half at another. Half of Peggy's record collection is 200 / 2 = 100, which means that 100 records will sell for one price and 100 records will sell for another price. Bryan is willing to pay more for the half of the record collection that he is interested in so Peggy would net 100 * 6 = 600 dollars for the first half of her record collection. For the half of the collection that Bryan is just planning on reselling at a later date, he is willing to offer Peggy 100 * 1 = 100 dollars to take off of her hands. In total Bryan is willing to offer Peggy 600 + 100 = 700 dollars for her entire record collection. If Sammy is offering 800 dollars to buy Peggy's entire record collection and Bryan is offering 700 dollars for Peggy's entire record collection, then Peggy's net profit would be 800 - 700 = 100 dollars more by taking Sammy's deal instead of Bryan's deal. The answer is 100.
Q: Nick has 35 quarters. 2/5 of the quarters are state quarters, and 50 percent of the state quarters are Pennsylvania. How many Pennsylvania state quarters does Nick have?
A:
State quarters:35(2 / 5) = 14 quarters. Pennsylvania:14(.50) = 7 quarters. The answer is 7.