[Question]Karen is planning writing assignments for her fifth grade class. She knows each short-answer question takes 3 minutes to answer, each paragraph takes 15 minutes to write, and each essay takes an hour to write. If Karen assigns 2 essays and 5 paragraphs, how many short-answer questions should she assign if she wants to assign 4 hours of homework total?
[Answer]First figure out how many minutes 4 hours is: 4 hours * 60 minutes / hour = 240 minutes. Then figure out how long the two essays will take by multiplying the time per essay by the number of essays: 2 essays * 1 hour / essay * 60 minutes / hour = 120 minutes. Use the same method to find the total time spent writing paragraphs: 15 minutes / paragraph * 5 paragraphs = 75 minutes. Now subtract the time spent on essays and paragraphs from the total time to find the time spent on all the short answer questions: 240 minutes - 120 minutes - 75 minutes = 45 minutes. Finally, divide the total time spent on short - answer questions by the time per question to find the number of questions: 45 minutes / 3 minutes / question = 15 questions. The answer is 15.
Q: Stella collects stamps. She counted 50 pages in her collector's album. There are 5 rows of 30 stamps in each of the first 10 pages of her album. The rest of the pages each have 50 stamps. How many stamps are in Stella's album?
A: There are 30 x 5 = 150 stamps on each of the first 10 pages. So she has a total of 150 x 10 = 1500 stamps in the first 10 pages. There are 50 - 10 = 40 pages that have 50 stamps each. There is a total of 40 x 50 = 2000 stamps in the remaining 40 pages. Therefore, Stella has 2000 + 1500 = 3500 stamps in her album. The answer is 3500.
Question: Diane is twice as old as her brother, Will. If Will was 4 years old 3 years ago, what will the sum of their ages be in 5 years?
Answer: Since Will was 4 years old 3 years ago, then he is 4 + 3 = 7 years old now. Dina is twice as old as he is so she is 2 * 7 = 14 years old now. In 5 years, Will will be 7 + 5 = 12 years old. In 5 years, Diane will be 14 + 5 = 19 years old. The sum of their ages at that time will be 12 + 19 = 31 years. The answer is 31.
[Question]Maria's monthly salary is $2000. 20% of her salary goes to paying tax, and 5% goes to insurance. Also, a quarter of the money left after the deductions is spent on utility bills. How much money does Maria have after the deductions and utility bills payment?
[Answer]Maria's deduction for tax is 2000 x 20% = $400. Her deduction for insurance is 2000 x 5% = $100. Maria's total deductions is $400 + $100 = $500. After the deductions, Maria has only $2000 - $500 = $1500 left from her salary. Then, Maria pays $1500 / 4 = $375 for the utility bills. So, Maria has $1500 - $375 = $1125 after the deductions and utility bills payment. The answer is 1125.
Q: Travis is hired to take 638 bowls from the factory to the home goods store. The home goods store will pay the moving company a $100 fee, plus $3 for every bowl that is delivered safely. Travis must pay the home goods store $4 each for any bowls that are lost or broken. If 12 bowls are lost, 15 bowls are broken, and the rest are delivered safely, how much should Travis be paid?
A: Travis has lost or broken 12 + 15 = 27 bowls. Travis will need to pay the store 27 x $4 = $108 dollars. Travis has safely taken 638 - 27 = 611 bowls. For this, he will be paid 611 x $3 = $1833 dollars. In total Travis will be paid $1833 + $100 = $1933 dollars. Since Travis has to pay the home goods 108 for the broken and lost bowls, he will end up with $1933 - $108 = $1825. The answer is 1825.
Question: In the jar, there are 7 blue marbles, 11 red marbles, and some yellow marbles. If the chance of randomly picking a yellow marble is 1/4, how many yellow marbles are there?
Answer:
Let y be the number of yellow marbles. There are 11 + 7 + y = 18 + y total marbles. y / (18 + y) = 1 / 4. 4y = 18 + y. 3y = 18. y = 6. There are 6 yellow marbles. The answer is 6.