Q: If Buzz bought a pizza with 78 slices at a restaurant and then decided to share it with the waiter in the ratio of 5:8, with Buzz's ratio being 5, what's twenty less the number of slices of pizza that the waiter ate?
A: The total ratio representing the slices of pizza that Buzz bought is 5 + 8 = 13. If he shared the slices of pizza with the waiter, the waiter received a fraction of 8 / 13 of the total number of slices, which totals 8 / 13 * 78 = 48 slices. Twenty less the number of slices of pizza that the waiter ate is 48 - 20 = 28. The answer is 28.
Question: The swimming club went to a swim meet in another town. They took 2 cars and 3 vans. There were 5 people in each car and 3 people in each van. Each car can hold a maximum of 6 people and each van can hold a maximum of 8 people. How many more people could have ridden with the swim team?
Answer: The available number of people in each car is 6 * 2 cars = 12 people. The available number of people in each van is 8 * 3 vans = 24 people. The total number of people that could go with the team is 12 people + 24 people = 36 people. The team took with them 2 cars * 5 people = 10 people. The team also took 3 vans * 3 people = 9 people. The team brought 10 people + 9 people = 19 people. The team could bring an additional 36 people - 19 people = 17 people. The answer is 17.
[Question]Marjorie works as a baker. Every day, she makes twice as many cakes as she did the day before. On the sixth day, she makes 320 cakes. How many cakes did Marjorie make on the first day?
[Answer]As the number of cakes doubles each day, Marjorie must have made 320 cakes / 2 = 160 cakes on the fifth day. So on the fourth day, she must have made 160 cakes / 2 = 80 cakes. This means that on the third day, she made 80 cakes / 2 = 40 cakes. On the second day, she made 40 cakes / 2 = 20 cakes. So on the first day, she made 20 cakes / 2 = 10 cakes. The answer is 10.
Q: How many right triangles with a height of 2 inches and a width of two inches could fit inside a square with 2-inch sides?
A: A triangle with a height of 2 inches and width of 2 inches has an area of 2 square inches because (1 / 2) x 2 x 2 = 2. The square has an area of 4 square inches because 2 x 2 = 4. 2 triangles would fit because 4 / 2 = 2. The answer is 2.
Question: James visits 20 houses to try and make a sale. He manages to sell something in every house. The next day he visits twice as many houses but only sold to 80% of houses. If he sold two things at each house in each of the two days, how many items did he sell?
Answer: The second day he visited 20 * 2 = 40 houses. So he sold things at 40 * .8 = 32 houses. So in total he sold things at 20 + 32 = 52 houses. That means he sold 52 * 2 = 104 things. The answer is 104.
Q: Roland needs a length of thread to complete an exercise. He has a 12cm long thread but his teacher says he needs an additional three-quarters of what he has. What is the total length required?
A:
An additional three - quarters of 12cm is needed which is 12cm * (3 / 4) = 9cm. The total length required is 12cm + 9cm = 21cm. The answer is 21.