Q: Lard decides to share a pizza with his friend Jelly. He takes a whole, uncut pepperoni pizza and cuts it in half. He then cuts these halves in half and gives one of the slices to Jelly. Assuming the pizza started with 40 evenly spread slices of pepperoni, how many slices of it are on the slice Lard gives Jelly if 1 of them falls off the slice when Lard picks it up?
A: First, we need to determine how many slices the pizza was cut into. To do this, we start by performing 1 * 2 = 2 slices after the pizza was cut in half once. Each of these slices was cut in half again, yielding 2 * 2 = 4 slices in total. Next, we divide the total amount of pepperoni slices by the number of pizza slices, as the pepperoni was spread evenly. We find there are 40 / 4 = 10 slices of pepperoni per pizza slice. Since 1 slice of pepperoni fell off Jelly's slice, this means there are 10 - 1 = 9 slices left on her slice. The answer is 9.
Question: John has 2 hives of bees. One of the hives has 1000 bees and produces 500 liters of honey. The second has 20% fewer bees but each bee produces 40% more honey. How much honey does he produce?
Answer: The second hive has 20 / 100 * 1000 = 200 fewer bees. This translates to 1000 - 200 = 800 bees. Each bee in the first hive produces 1000 / 500 = 2 liters. The second hive has bees each producing 1.4 * 2 = 2.8 liters. The total amount of honey produces by the bees in the second hive is 2.8 * 700 = 1960. The total honey produced is 1960 + 500 = 2460 liters. The answer is 2460.
[Question]3 people run for president. John manages to capture 150 votes. James captures 70% of the remaining vote. If there were 1150 people voting, how many more votes did the third guy get than John?
[Answer]There were 1150 - 150 = 1000 people who didn't vote for John. That means James got 1000 * .7 = 700 votes. So the other candidate got 1000 - 700 = 300 votes. This means he got 300 - 150 = 150 more votes than John. The answer is 150.
Q: Hannah comes home from work to find her older son taped her younger son to a chair with 22 strands of duct tape. If Hannah can cut 8 strands per minute and her son can cut 3 strands per minute, how long will it take them to free her younger son?
A: First find the total number of strands the two of them can cut per minute: 8 strands + 3 strands = 11 strands. Then divide the total number of strands by the number of strands they cut per minute to find the number of minutes it takes to cut all the strands: 22 strands / 11 strands / minute = 2 minutes. The answer is 2.
Question: Andy is mixing blue, green and white paint in a 1 : 2 : 5 ratio. If he uses 6 gallons of green paint, how many gallons of paint does he use total?
Answer: First find the number of gallons of blue paint by multiplying the gallons of green paint by the ratio between the blue and green paint: 1 blue gallon / 2 green gallons * 6 gallons = 3 gallons. Then find the number of gallons of white paint by multiplying the gallons of green paint by the ratio between the white and green paint: 5 white gallons / 2 green gallons * 6 gallons = 15 gallons. Then add the number of gallons of each color to find the total number of gallons of paint: 6 gallons + 3 gallons + 15 gallons = 24 gallons. The answer is 24.
Q: Janet's grades for her first semester of college were 90, 80, 70, and 100. If her semester 2 average was 82 percent, how much higher was her semester 1 average compared to her semester 2 average?
A:
First add all Janet's grade for the first semester of college: 90 + 80 + 70 + 100 = 340. Then divide that number by 4 to find her average grade: 340 / 4 = 85. Then subtract her semester 2 average to find the difference: 85 - 82 = 3. The answer is 3.