[Question]Amanda and her family are going to re-paint all the walls inside their house. Before they get started they want to divide up the work. Since all the rooms in the house have different numbers and sizes of walls in them, they figure the fairest way to divide up the work is to count all the walls in the house and assign an equal number to each person. There are 5 people in Amanda's family, including herself. There are 9 rooms in the house. 5 of the rooms have 4 walls each. The other 4 rooms each have 5 walls each. To be fair, how many walls should each person in Amanda's family paint?
[Answer]First, Amanda needs to figure out how many walls there are in the house, 5 rooms x 4 walls each = 20 walls. The other 4 rooms have x 5 walls each = 20 walls. The house has 20 walls + 20 walls = 40 walls total. To divide the work equally between the 5 people, 40 walls / 5 people = 8 walls for each person. The answer is 8.
Q: There are 30 players on a football team. The coach has 8 liters of water. She pours 200 milliliters of water for every player so they can get hydrated. Unfortunately, there was a water spill and 250ml of water was spilled. How much water was left over?
A: The coach has 8 liters * 1000 ml / liter = 8,000 ml of water. She pours 200 ml / player x 30 players = 6,000 ml of water in total for all the athletes. The water spill means 6,000 ml + 250 ml = 6,250 ml of water was used. There was 8,000 ml - 6,250 ml = 1,750 ml of water left. The answer is 1750.
Question: Jenny leaves her house at 8:00 with some cupcakes for her daughter's birthday party at school. She jogs to the school at 15 miles per hour. Half an hour later, her wife Anna realizes that Jenny used peanut butter frosting because she forgot one of the kids in the class had a severe peanut allergy. Jenny doesn't have her cell phone, so Anna leaves the house driving at 45 miles her hour to catch Jenny and warn her. How long does Anna spend traveling in minutes?
Answer: We know that the time that Anna spends traveling is 20 minutes less than Jenny's travel time: a = j - 20. We also know that the distance both people travel is equal, so their speeds times their travel times must be equal: 15j = 45a. Substituting the first equation into the second equation, we get 15j = 45(j - 20). Multiplying through the parentheses we get 15 j = 45j - 900. Subtracting 45 j from both sides, we get - 30j = - 900. Dividing both sides by - 30, we get j = 30. Since Anna travels 20 minutes less than Jenny, she traveled 30 minutes - 20 minutes = 10 minutes. The answer is 10.
[Question]Joshua packs 12 bottles in each crate. He has a total of 130 bottles and 10 crates. How many bottles will not be placed in a crate?
[Answer]A total of 12 x 10 = 120 bottles will be placed in 10 crates. Therefore, 130 - 120 = 10 bottles will not be placed in a crate. The answer is 10.
Q: Seth and Max were selling candy bars for a school fundraiser. Seth sold 6 more candy bars than 3 times the number of candy bars that Max sold. If Max sold 24 candy bars, how many did Seth sell?
A: Let C be the number of candy bars Seth sold. 3 * 24 + 6 = C. 72 + 6 = C. C = 78. The answer is 78.
Question: A fruit and vegetable merchant installed 15 kg of carrots, 13 kg of zucchini and 8 kg of broccoli. He sold only half of them. What mass of vegetables did he sell?
Answer:
You first need to know the total weight of the vegetables, so you add each quantity: 15 + 13 + 8 = 36 kg. Then you have to find half of 36: 36 / 2 = 18 kg. So, he sold 18 kg of vegetables. The answer is 18.