Q: 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?
A: 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: Luke takes a 70-minute bus to work every day. His coworker Paula takes 3/5 of this time to arrive by bus at work. If Luke takes a bike ride back home every day, 5 times slower than the bus, and Paula takes the bus back home, calculate the total amount of time, in minutes, they take traveling from home to work and back each day.
Answer: When Luke takes the 70 - minute bus to work, his coworker Paula takes 3 / 5 * 70 = 42 minutes to travel from home to work. From work to home, Paula spends the same amount of time she spent going to work, giving a total of 42 + 42 = 84 minutes in a day traveling. From work to home, while riding the bike, Luke spends 5 * 70 = 350 minutes on the road. The total time Luke takes to travel from home to work and back is 350 + 70 = 420 minutes. Together, Luke and Paula takes 420 + 84 = 504 minutes. The answer is 504.
[Question]Ginger owns a flower shop, where she sells roses, lilacs, and gardenias. On Tuesday, she sold three times more roses than lilacs, and half as many gardenias as lilacs. If she sold 10 lilacs, what is the total number of flowers sold on Tuesday?
[Answer]With 10 lilacs sold, three times more roses than lilacs is 3 * 10 = 30 roses. Half as many gardenias as lilacs is 10 / 2 = 5 gardenias. In total, there were 10 + 30 + 5 = 45 flowers sold on Tuesday. The answer is 45.
Q: Adam goes to a small school, which teaches 80 students in three classes. 40% of the students are in class A, and class B has 21 students fewer than class A. The rest are in class C. How many students are in this class?
A: In class A, there are 40 / 100 * 80 = 32 students. In class B, the number of students is less by 21, which means class B has 32 - 21 = 11 students. That means 80 - 32 - 11 = 37 students are in class C. The answer is 37.
Question: Ned opens a left-handed store. He sells left-handed mice. They cost 30% more than normal mice. He sells 25 a day and his store is open every day except Sunday, Thursday, and Friday. If normal mice cost $120 how much money does he make a week?
Answer: The left - hand mice cost 120 * .3 = $36 more than right - handed ones. So they cost 120 + 36 = $156. So he makes 156 * 25 = $3900 a day. The store is open 7 - 3 = 4 days a week. So in a week, he makes 3900 * 4 = $15,600. The answer is 15600.
Q: A special school has a deaf-student population 3 times its blind-student population. If there are 180 students in total, how many blind students are there?
A:
Let the number of blind students be x. The number of deaf students will then be 3 * x = 3x students. The total number of students is x + 3x = 180 students. Combining like terms gives 4x = 180. So the value of x is 180 / 4 = 45. The answer is 45.