Q: A special school has a deaf-student population 3 times its blind-student population. If there are 180 students in total, how many blind students are there?
A: Let the number of blind students be x. The number of deaf students will then be 3 * x = 3x students. The total number of students is x + 3x = 180 students. Combining like terms gives 4x = 180. So the value of x is 180 / 4 = 45. The answer is 45.
Question: Val has three times as many dimes as nickels. If she accidentally finds twice as many nickels as she has in her older brother's treasure box, and takes them for herself, what would be the value of money she has, in dollars, if she had 20 nickels before finding the new ones from her brother's treasure box?
Answer: If Val currently has 20 nickels and finds twice as many nickels as she has in her older brother's treasure box, she will have 2 * 20 = 40 more nickels. The total number of nickels she'll have is 40 + 20 = 60. Since nickel is worth $0.05, the value of the nickels Val is having is 60 * 0.05 = $3. Val had three times as many dimes as nickels before she found the 40 new nickels, a total of 3 * 20 = 60 dimes. Since a dime has a value of $0.10, the value of the dimes that Val has is 60 * $0.10 = $6. Together, the value of the dimes and nickels Val has is worth $6 + $3 = $9. The answer is 9.
[Question]Dennis collected 10 rocks. He put all of them in his aquarium but his fish ate half of them. He was able to make the fish spit two out. How many of Dennis's rocks are left?
[Answer]Dennis had 10 / 2 = 5 rocks left after the fish ate them. He made the fish spit two out, which left Dennis with 5 + 2 = 7 rocks. The answer is 7.
Q: James paints a 20 ft by 15 ft mural. It takes him 20 minutes to paint 1 square foot and he charges $150 per hour. How much does he charge to paint the mural?
A: The mural is 20 * 15 = 300 square feet. So it takes him 300 * 20 = 6000 minutes. So he paints it in 6000 / 60 = 100 hours. That means he charges 100 * 150 = $15000. The answer is 15000.
Question: Bob can shuck 10 oysters in 5 minutes. How many oysters can he shuck in 2 hours?
Answer: He shucks 10 oysters in 5 minutes we need to know how many 5 minute units are in 60 minutes so 60 / 5 = 12 units. He can shuck 10 oysters in 5 minutes and there are 12 5 minute units in an hour so he can shuck 10 * 12 = 120 oysters in 1 hour. If he can shuck 120 oysters in 1 hour, so for 2 hours in can shuck 2 * 120 = 240 oysters. The answer is 240.
Q: Monica and Sheila are twins. Their mother gave them $50 and told them to buy some toilet paper and spend the remainder on groceries. The toilet paper cost $12. They bought apples, butter, eggs, and a large ham for twice the cost of the toilet paper. Since they still had some leftover money, they called their mother and she gave them permission to buy whatever they wanted for themselves as long as they shared the money evenly. They saw some boots they really liked, but a pair of boots costs 3 times the amount they had left. How much more would Monica and Sheila each have to add of their own money to buy two pairs of boots?
A:
The groceries cost $12 x 2 = $24. Including the toilet paper, Monica and Sheila had already spent $12 + $24 = $36. This means that they had $50 - $36 = $14 left to spend on themselves. However, the boots cost $14 x 3 = $42 per pair. Two pairs of boots would cost $42 x 2 = $84. They need another $84 - $14 = $70 to buy two pairs. Each of them needs to add another $70 / 2 = $35. The answer is 35.