[Question]Janina spends $30 each day for rent and uses $12 worth of supplies daily to run her pancake stand. If she sells each pancake for $2, how many pancakes must Janina sell each day to cover her expenses?
[Answer]Janina spends $30 + $12 = $42 each day for her pancake stand. She must sell $42 / $2 = 21 pancakes each day to cover her expenses. The answer is 21.
Q: Darryl is an inventor who just designed a new machine. He had to pay $3600 for the parts to construct the machine, and $4500 for the patent he applied for once he built it. If the machine sells for $180, how many machines does Darryl need to sell to break even after the costs?
A: Darryl paid 3600 + 4500 = $8100 in costs for the parts and patent. Thus, Darryl needs to sell 8100 / 180 = 45 machines to break even. The answer is 45.
Question: Jacob takes four tests in his physics class and earns 85, 79, 92 and 84. What must he earn on his fifth and final test to have an overall average of 85?
Answer: Since wants needs an 85 as an average and he takes five tests, he must have 85 * 5 = 425 total points. Currently he has 85 + 79 + 92 + 84 = 340 points. So for his fifth test he needs 425 - 340 = 85 points. The answer is 85.
[Question]There were 50 racers in a bicycle charity race at the beginning of the race. After 20 minutes, 30 more racers joined the race. The total number of racers doubled after another 30 minutes. If at the end of the race only 130 people finished the race, what's the total number of people who dropped before finishing the race?
[Answer]At the start, there were 50 racers, who were joined by 30 more racers, thus 50 + 30 = 80 racers. After 30 more minutes, the number of racers doubled, totaling 80 * 2 = 160 racers. If the number of racers who finished is 130, the 160 - 130 = 30 racers dropped before finishing. The answer is 30.
Q: Jerry was contracted to work on a house by his neighbor Miss Stevie. The time it took him to fix the broken kitchen counter was three times longer than the time he took painting the house. He took 8 hours painting the house and then helped mow Miss Stevie's lawn, taking 6 hours. If he charged Miss Stevie $15 per hour of work, calculate the amount of money that Miss Stevie paid him.
A: Jerry took 2 * 8 = 24 hours fixing the broken kitchen counter. Together, painting the house and fixing the broken kitchen counter took him 24 + 8 = 32 hours. If he also took 6 hours mowing the lawn, the total time he spent working for Miss Stevie is 32 + 6 = 38. Since he charged $15 per hour of work, he was paid 38 * $15 = $570. The answer is 570.
Question: Olivia's insurance premium starts out at $50/month. It goes up 10% for every accident and $5/month for every ticket. If she gets in one accident and gets 3 tickets, what's her new insurance premium?
Answer:
First find the increase due to the accident: $50 * 10% = $5. Then find the total increase due to the tickets: $5 / ticket * 3 tickets = $15. Then add both increases to the base price to find the new price: $50 + $5 + $15 = $70. The answer is 70.