Question: John has to pay taxes. He earned $100,000 for the year. He has $30,000 in deductions. The first $20,000 of taxable income is taxed at 10%. The rest is taxed at 20%. How much does he pay in taxes?
Answer: His taxable income is 100,000 - 30,000 = $70,000. So he pays 20,000 * .1 = $2000 tax at the lower rate. He has to pay 70,000 - 20,000 = $50,000 at the higher rate. The taxes for that is 50,000 * .2 = $10,000. So his total tax bill is 10,000 + 2,000 = $12,000. The answer is 12000.
[Question]Alex is working on a science project and has taken pictures of all of the plants in a park near her home. She wants to find out how many of each plant she has pictures of, but she has 960 pictures, and counting them all will take her a long time. Her teacher suggested she use a program on the computer that can automatically tell her what plant is in each picture and count them for her. It will take the program 2 minutes to process each picture. How many hours will it take to process all of the pictures?
[Answer]Each picture will take 2 minutes to process. 2 x 960 = 1,920 minutes. There are 60 minutes in an hour. To find the hours, divide the minutes by 60. 1,920 / 60 = 32 hours. The answer is 32.
Q: A dime has the same value as 10 pennies and a nickel has the same value as 5 pennies. How many pennies will Grace have by exchanging her 10 dimes and 10 nickels?
A: Grace will have 10 x 10 = 100 pennies from her dimes. She will have 10 x 5 = 50 pennies from her nickels. Therefore, she will have a total of 100 + 50 = 150 pennies. The answer is 150.
Question: The cost of purchasing two commodities is $827. If the purchase price of the first one exceeds the other by $127, what is the purchase price of the first commodity?
Answer: Let X be the price of the first commodity, so the price of the second commodity is X - $127. The cost of purchasing two of them is X + (X - $127) = $827. Combining like terms, we get X * 2 - $127 = $827. Subtracting $137 from both sides, we get X * 2 = $954. Dividing both sides by 2, we get X = $477. The answer is 477.
[Question]The ratio representing the age of Halima, Beckham, and Michelle is 4:3:7, respectively. If the total age for the three siblings is 126, calculate the age difference between Halima and Beckham.
[Answer]The total ratio representing the age of the three siblings is 4 + 3 + 7 = 14. Halima's age is represented by the fraction 4 / 14, which means she is 4 / 14 * 126 = 36 years old. Beckhams age, from the total age of the three, is 3 / 14 * 126 = 27. The difference in age between Halima and Beckham is 36 - 27 = 9. The answer is 9.
[Question]James buys steaks for buy one get one free. The price is $15 per pound and he buys 20 pounds. How much did he pay for the steaks?
[Answer]
He pays for 20 / 2 = 10 pounds of steaks. That cost 10 * 15 = $150. The answer is 150.