Question: Karen packs peanut butter sandwiches in her daughter's lunch 2 randomly chosen days of the week. The other 3 school days, she packs a ham sandwich. She packs a piece of cake on one randomly chosen day and cookies the other four days. What is the probability, expressed as a percentage, that Karen packs a ham sandwich and cake on the same day?
Answer: There are 5 school days in a week, so the probability Karen packs a ham sandwich is 3 / 5 and the probability she packs cake is 1 / 5. Multiply the two probabilities to find the probability both things happen: 3 / 5 * 1 / 5 = 3 / 25. Now divide 3 by 25 and multiply by 100% to express this probability as a percentage: 3 / 25 * 100% = 12%. The answer is 12.
[Question]Three old cars displayed in an auction event have different manufacture dates. The first car, made in 1970, was made 10 years earlier than the second car. The third car was manufactured 20 years later after the second car was manufactured. Calculate the year that the third car was made.
[Answer]If the first car was made 10 years earlier than the second car, then the manufacture date for the second car is 1970 + 10 = 1980. The third car was manufactured 20 years after the second car was made, which is 1980 + 20 = 2000. The answer is 2000.
Q: During vacation, Jimmy visits different beaches on an island, so he changes his place of lodging from time to time. The first 3 days he stays in a hostel, where he is charged $15 per night. The fourth and fifth days he stays in a cabin where he shares expenses with 2 of his friends, and they are charged $45 total per night. How much did Jimmy spend on lodging?
A: For the first 3 days, he pays 3 * $15 = $45. The next 2 days, he and his friends pay $45 * 2 = $90. Jimmy and his 2 friends pay $90 / 3 = $30 each. In total, Jimmy spent $45 + $30 = $75. The answer is 75.
Question: Teresa scored 70 marks in science, 80 in music, 85 in social studies, and the physics exam, which was the hardest test that Teresa had ever taken in her entire life, she scored half as many marks as she scored in music. Calculate the total marks Teresa scored in all the subjects.
Answer: The total marks of science and music are 70 + 80 = 150. When you add the marks she scored in social studies, the full marks become 150 + 85 = 235. She scored half as many marks in physics as she scored music, totaling 1 / 2 * 80 = 40 marks. When you add the marks she scored in physics to the total marks of the other subjects, the full marks become 235 + 40 = 275. The answer is 275.
[Question]Stanley sold 4 cups of lemonade an hour. His brother, Carl, sold 7 cups of lemonade an hour. How many more cups did Carl sell than Stanley in 3 hours?
[Answer]Stanley sold 4 x 3 = 12 cups. Carl sold 7 x 3 = 21 cups. Carl sold 21 - 12 = 9 cups more than Stanley. The answer is 9.
[Question]Mark got a 5% raise at his job. Before the raise, he earned 40 dollars per hour. He works 8 hours per day for 5 days per week. His old bills used to be 600 dollars a week but he decided to add a hundred dollar a week personal trainer. How much does he have leftover a week?
[Answer]
After the raise he earns 40 * 1.05 = 42 dollars an hour. He works 8 hours per day so earns 42 * 8 = 336 per day. He works 5 days per week so he earns 336 * 5 = 1680 a week. His expenses after adding the personal trainer are 600 + 100 = 700 a week. So he has 1680 - 700 = 980 left over. The answer is 980.