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? Give the rationale and then the answer.
Let's think step by step. 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.

Jerry is refilling the duck pond in his backyard during a drought. The pond can hold 200 gallons of water. Jerry's hose can normally pump 6 gallons/minute, but due to drought restrictions, it can only pump 2/3rds as fast right now. How many minutes will it take Jerry to fill his pond? Give the rationale and then the answer.
Let's think step by step. First find the current rate the hose pumps by multiplying its normal rate by 2 / 3: 6 gallons / minute * 2 / 3 = 4 gallons / minute. Then divide the number of gallons in the pond by the number of gallons pumped each minute to find how many minutes filling the pond takes: 200 gallons / 4 gallons / minute = 50 minutes.. The answer is: 50.

Each of the three Morales sisters owns an orange grove that has 110 trees. Each orange tree produces medium-sized oranges. At harvest time, Gabriela's grove produced 600 oranges per tree, while Alba harvested 400 per tree. Each of Maricela's trees produced 500 oranges. With such a huge harvest, the sisters are thinking of making orange juice for sale. If it takes three medium-sized oranges to make 1 cup of juice, and then they sell each cup for $4, how much money will they make? Give the rationale and then the answer.
Let's think step by step. Gabriela's grove produced 600 oranges / tree * 110 trees = 66000 oranges. Alba’s grove produced 400 oranges / tree * 110 trees = 44000 oranges. Maricela's trees produced 500 oranges / tree * 110 trees = 55000 oranges. The Morales sisters therefore harvested a total of 66000 oranges + 44000 oranges + 55000 oranges = 165000 oranges. The oranges will therefore yield 165000 oranges / 3 oranges / cup = 55000 cups of juice. Total sales will be 55000 cups * $4 / cup = $220000.. The answer is: 220000.