The number of red flowers is twice as many as orange so 2 * 10 orange = 20 red flowers. The number of yellow flowers is 5 less than red so 20 red - 5 = 15 yellow flowers. The number of red, orange and yellow flowers is 20 red + 10 orange + 15 yellow = 45 flowers. The number of pink and purple flowers total is 105 flowers total - 45 flowers that are not pink or purple = 60 flowers. The number of pink and purple flowers each is 60 flowers / 2 = 30 flowers each.
The answer: 30
Reverse engineering the question: A garden is filled with 105 flowers of various colors. There are twice as many red flowers as orange. There are five fewer yellow flowers than red. If there are 10 orange flowers, how many pink and purple flowers are there if they have the same amount and there are no other colors?
Reasoning and answer: The age of Jeremy three years from now will be 40 + 3 = 43 years. Since Sebastian age is four years more than Jeremy's, Sebastian is currently 40 + 4 = 44 years. In three years, Sebastian will be 44 + 3 = 47 years old. The total age of Jeremy and Sebastian in three years will be 47 + 43 = 90. If the total age of Jeremy, Sebastian and Sophia in three years is 150, then Sophia's age in three years will be 150 - 90 = 60.
The answer: 60
What was the question?
Question: The sum of the ages of Jeremy, Sebastian and Sophia in three years is 150. Currently, Sebastian is 4 years older than Jeremy. If Jeremy's age is 40, calculate Sophia's age three years from now?
The team is 40% girls because 100 - 60 = 40. The team has 20 girls because 50 x .4 = 20. The team has 10 junior girls because 20 / 2 = 10.
The answer: 10
Reverse engineering the question: Ben's hockey team is 60% boys and the rest are girls. Half the girls are juniors and the other half are seniors. If the team has 50 players, how many junior girls are there?
Reasoning and answer: When the number of cases increased by four times more per day during the second wave, there were 4 * 300 = 1200 more infections per day than during the first wave. The total number of infections during the second wave per day was 1200 + 300 = 1500. For two weeks with 14 days, the number of me infections was 14 * 1500 = 21000.
The answer: 21000
What was the question?
Question: The number of coronavirus cases in a certain country was 300 infections per day during the first wave. However, the number of cases increased by four times more per day as a new coronavirus variant started infecting people in a second wave. What was the total number of infections during the second wave in 2 weeks?
Jesse runs 2 miles in the first three days because 3 x (2 / 3) = 2. Jesse has 18 miles left to run because 30 - 10 - 2 = 18. Jesse has to run an average of 6 miles a day because 18 / 3 = 6. Mia runs 12 miles over the first four days because 4 x 3 = 12. She has 18 miles left to run because 30 - 12 = 18. She has to run six miles a day because 18 / 3 = 6. The total they both have to run is 12 miles a day. The average they have to run per day on average is 6 miles because 12 / 2 = 6.
The answer: 6
Reverse engineering the question: Jesse and Mia are competing in a week long race. They have one week to run 30 miles. On the first three days Jesse averages (2/3) of a mile. On day four she runs 10 miles. Mia averages 3 miles a day over the first 4 days. What is the average of their average that they have to run over the final three days?
A pound of coffee makes 40 cups of coffee, so 3 lbs. coffee * 40 cups of coffee per lb. = 120 cups of coffee. Angie drinks 3 cups of coffee a day, so she has enough coffee to last her 120 cups of coffee / 3 cups of coffee per day = 40 days.
The answer: 40
Reverse engineering the question:
Angie bought 3 lbs. of coffee at the store today. Each lb. of coffee will brew about 40 cups of coffee. Angie drinks 3 cups of coffee every day. How many days will this coffee last her?