Q: Jack is trying to stack cans in his emergency bunker. If he can fit 12 cans in one row, 4 rows on one shelf, and 10 shelves in one closet, how many cans can he store in each closet?
A: First find the total number of cans Jack can fit on one shelf: 12 cans / row * 4 rows / shelf = 48 cans / shelf. Then find the number of cans he can fit on all the shelves in one closet: 48 cans / shelf * 10 shelves = 480 cans. The answer is 480.
Question: Pablo likes to put together jigsaw puzzles. He can put together an average of 100 pieces per hour. He has eight puzzles with 300 pieces each and five puzzles with 500 pieces each. If Pablo only works on puzzles for a maximum of 7 hours each day, how many days will it take him to complete all of his puzzles?
Answer: First find how many pieces are total in each puzzle. 8 puzzles * 300 pieces each = 2400 pieces. Next, 5 puzzles * 500 pieces each = 2500 pieces. All of the puzzles have 2400 pieces + 2500 pieces = 4900 pieces total. He will work a maximum of 7 hours each day * 100 pieces per hour = 700 pieces per day. So he will end up taking 4900 pieces total / 700 pieces per day = 7 days total. The answer is 7.
[Question]Sally was at a self-serve candy shop where you scoop candy from the bins and pay based on the weight. She scoops 32 cherry sours into a bag. Then she gets a scoop of lemon sours, and the ratio of cherry sours to lemon sours is 4:5. Then she gets a scoop of orange sours, and they make up 25% of the sours in the bag. How many sours does she have in total?
[Answer]She has 4 cherry sours for every 5 lemon sours, so the number of lemon sours = (5 lemon sours * 32 cherry sours) / 4 cherry sours = 40 lemon sours. This puts the total at 32 cherry sours + 40 lemon sours = 72 sours. After the orange sours are added, they make up 25% of the total sours. Let x = the total number of sours. x - 0.25 * x = 72 sours = > 0.75 * x = 72 sours = > x = 72 sours / 0.75 = 96 sours total. The answer is 96.
Q: Denmark wants to order pizza. For toppings, he has 3 cheese, 4 meat and 5 vegetable options, one of which is peppers. He can have only one selection from each topping category (one cheese, one meat and one vegetable). However, if he chooses to have pepperoni, he cannot have peppers. How many topping combinations does he have total?
A: Permutate the ingredients. 3 cheeses * 4 meats * 5 vegetables = 60 choice. However, we must take out the combinations that could have pepperoni and peppers, 1 cheese + 1 meat * + 1 vegetable = 3 bad choices. 60 - 3 = 57 choices. The answer is 57.
Question: 20% of the job candidates at a temp agency have experience with Excel. 70% of the candidates are only willing to work day shifts. If a manager picks a candidate at random, what are the odds they know Excel and are willing to work nights?
Answer: First find the percentage of candidates who are willing to work nights: 100% - 70% = 30%. Then multiply that percentage by the percentage who know Excel to find the percentage who meet both qualifications: 30% * 20% = 6%. The answer is 6.
Q: Janet goes to the gym for 5 hours a week. She goes Monday, Tuesday, Wednesday, and Friday. She spends an hour and a half each day on Monday and Wednesday. If she spends the same amount of time at the gym on Tuesday and Friday how many hours is she at the gym on Friday?
A:
Between Monday and Wednesday, she spends 1.5 hours + 1.5 hours = 3 hours. That means she has 5 hours - 3 hours = 2 hours left for Tuesday and Wednesday. She spends 2 hours / 2 = 1 hour on Friday. The answer is 1.