Question: James takes 5 oranges and breaks each orange into 8 pieces. He splits the pieces between 4 people. If an orange has 80 calories how many calories does each person get?
Answer with step-by-step thinking: He makes 5 * 8 = 40 pieces. So each person gets 40 / 4 = 10 pieces. That means each person eats 10 / 8 = 1.25 of an orange. So each person eats 80 * 1.25 = 100 calories of orange.
So the answer is 100.


Question: A school has 1000 students. Half of the students were taken on a trip to the nearby beach. Half of the remaining students were sent home. How many students are still in the school?
Answer with step-by-step thinking: 1000 * 1 / 2 = 500 students were taken on a trip to the nearby beach. So 1000 - 500 = 500 students were not taken to the beach. Thus, 1 / 2 * 500 = 250 students who were not taken to the beach were sent home. Thus, 500 - 250 = 250 students are still in school.
So the answer is 250.


Question: 4/5 of the Easter eggs are blue and 1/5 are purple. Half the purple eggs have five pieces of candy each, and 1/4 of the blue eggs do. The rest of the eggs only have one piece of candy. If Jerry opens one egg at random, what is the percentage chance he'll get 5 pieces of candy?
Answer with step-by-step thinking:
First find the probability Jerry gets a blue egg with 5 pieces of candy by multiplying the independent probabilities: 4 / 5 * 1 / 4 = 1 / 5 = 20%. Then find the probability he gets a purple egg with 5 pieces of candy the same way: 1 / 5 * 1 / 2 = 1 / 10 = 10%. Then add the probabilities of the two possible ways to get 5 pieces of candy to find the total probability: 20% + 10% = 30%.
So the answer is 30.