[Question]Nick's cell phone was initially empty but was then charged for 45 minutes and has reached a 25% charge. How much longer must the cell phone be charged to reach 100% charge?
[Answer]The ratio between the time charged and the time to be charged is 100 / 25 = 4. To reach 100%, the cell must be charged for 45 minutes * 4 = 180 minutes. Subtracting the 45 minutes that Jimmy already used to charge the cell phone, there are still 180 - 45 = 135 minutes of charging time left. The answer is 135.
Q: A fan can create an airflow of 10 liters per second. If the fan works for 10 minutes each day, calculate the amount of airflow it will create in one week.
A: If the fan works for 10 minutes each day, in a week with 7 days, it will have worked for 10 * 7 = 70 minutes. Since a minute has 60 seconds, the total time in seconds that the fan will have worked in one week is 70 * 60 = 4200 seconds. Since the fan can create an airflow of 10 liters per second, in 4200 seconds, it will create an airflow of 4200 * 10 = 42000 liters. The answer is 42000.
Question: James and Ali together own $250. If you know that James owns $40 more than Ali, then calculate the amount owned by James.
Answer: Let X be the amount owned by James. The amount owned by Ali is X - $40. The total amount owned by both of them X + (X - $40) = $250. Combining like terms, we get X * 2 - $40 = $250. Adding $40 to both sides, we get X * 2 = $290. Dividing both sides by 2, we get X = $145. The answer is 145.
[Question]Every day, Sara bakes 10 cakes and puts them in his refrigerator. He does this for 5 days. Carol then comes over and eats 12 of his cakes. If it takes 2 cans of frosting to frost a single cake, how many cans of frosting does Bob need to frost the remaining cakes?
[Answer]After 5 days, Sara has baked 5 days * 10 cakes / day = 50 cakes. After Carol's feast, there are 50 cakes - 12 cakes = 38 cakes remaining. Sara needs 2 cans / cake * 38 cakes = 76 cans of frosting. The answer is 76.
Q: Michael has a lot of matchsticks at home and decides to use them to make miniature models. As he is about to start crafting, he has second thoughts and decides to only use half of his pile of matchsticks. He creates 30 matchsticks houses. If he has now used all of the matchsticks he intended to and each matchstick house uses 10 matchsticks, how many matchsticks did Michael have originally?
A: Michael has used a total of 30 matchstick houses * 10 matchsticks per matchstick house = 300 matchsticks. As he only used half of his collection for crafting, he must have originally had 300 matchsticks * 2 = 600 matchsticks. The answer is 600.
Question: Jack and Jill shared the cost of renting a cottage that costs $5 an hour. If they rented it for eight hours, how much did each friend pay?
Answer:
The total cost of renting the cottage for 8 hours is $5 x 8 = $40. So, each friend pay $40 / 2 = $20 each. The answer is 20.