[Question]Lucca bought 200 pieces of bread. Lucca ate 1/4 of the pieces of bread in one day, and 2/5 of the remaining pieces the next day. If he ate half of the remaining pieces on the third day, calculate how many pieces of bread are remaining.
[Answer]On the first day, Lucca ate 1 / 4 * 200 = 50 pieces. The number of pieces remaining after the first day is 200 - 50 = 150. On the second day, Lucca ate 2 / 5 * 150 = 60 pieces of bread. The pieces of bread that remained after the second day is 150 - 60 = 90. If Lucca ate half of the remaining pieces of bread on the third day, he ate 1 / 2 * 90 = 45 pieces. The pieces of bread that are remaining after the third day are 90 - 45 = 45. The answer is 45.
Q: Malcolm brushes his teeth for 2 minutes after breakfast, lunch and dinner. After 30 days, how many hours does he spend brushing his teeth?
A: He brushes his teeth 3 times a day, after breakfast, lunch and dinner. He brushes for 2 minutes so that’s 3 * 2 = 6 minutes per day. He brushes 6 minutes per day so after 30 days he has brushed 6 * 30 = 180 minutes. There are 60 minutes in 1 hour and he brushes for 180 minutes so that’s 180 / 60 = 3 hours. The answer is 3.
Question: Roberta wants to have a dinner party centered around soufflés. Each savory souffle calls for 8 eggs each and the dessert ones call for 6 eggs each. She wants to make 3 savory soufflés and 5 dessert soufflés for the party. How many eggs will she need?
Answer: The savory soufflés need 8 eggs each and she wants to make 3 of these so she needs 8 * 3 = 24 eggs. The dessert soufflés need 6 eggs each and she wants to make 5 of these so she needs 6 * 5 = 30 eggs. For the dinner party she will need 24 + 30 = 54 eggs in total. The answer is 54.
[Question]Mark is a lawyer who works at the county courthouse every day. It takes him 5 minutes to find parking and 3 minutes to walk into the courthouse. 2 days of the week it takes him 30 minutes to get through the metal detector and the other 3 days are less crowded so he gets through in 10 minutes. How long does he spend on all these activities in a week with 5 work days?
[Answer]First find how long Mark spends on parking and walking each day: 5 minutes + 3 minutes = 8 minutes. Then multiply that number by his number of workdays to find the total walking and parking time: 8 minutes / day * 5 days / week = 40 minutes / week. Then multiply the number of long - wait days by the time of each long wait: 2 days / week * 30 minutes / day = 60 minutes / week. Then multiply the number of short - wait days by the time of each short wait: 3 days / week * 10 minutes / day = 30 minutes / week. Then add the length of time Mark spends on each activity to find the total time spent: 30 minutes / week + 60 minutes / week + 40 minutes / week = 130 minutes / week. The answer is 130.
Q: Lyla, a grocery store owner, bought rice weighing 30 kg less than green beans, which weigh 10 kg more than sugar. While carrying the goods to the store, the bags fell down and 1/3 weight of the rice and 1/5 weight of sugar was lost. If the green beans weighed 60 kgs, then how much did the remaining stock weigh?
A: If rice weighed 30 kg less than the green beans, then the total rice weight is 60 kg - 30 kg = 30 kg. If the green beans weighed 10 kg more than sugar, then the total sugar weight is 60 kg - 10 kg = 50 kg. When 1 / 3 weight of rice was lost, the weight loss became 1 / 3 * 30 = 10kg. The weight of rice after the loss is 30 kg - 10 kg = 20 kg. When 1 / 5 weight of sugar was lost, the lost weight was 1 / 5 * 50 kg = 10 kg. The weight of sugar after the loss is 50 kg - 10 kg = 40 kg. The total weight for all the items is 40 kg + 20 kg + 60 kg = 120 kg. The answer is 120.
Question: At the Boisjoli farm, there is a chicken coop where 270 hens and 3 roosters live. Every morning, around 8 a.m., Ms. Mosel goes to collect the eggs because, every morning, each hen lays one. Then, after 1 hour of collection, she puts all these eggs in boxes of 6. It takes her another 40 minutes. Once all this is done, Ms. Mosel brings all the boxes of eggs to her village. She does it from Monday to Sunday, because chickens don't have a day off. How many boxes does Ms. Mosel fill each week?
Answer:
First calculate the number of eggs laid in 1 week: 270 X 7 = 1890 eggs. Now let’s put these eggs in the boxes: 1890 / 6 = 315 boxes. The answer is 315.