Hector gave to Alisha twice as many as he had given Todd, for a total of 4 * 2 = 8 gumballs,. Hector gave 5 less than four times as many to Bobby as he had given to Alisha, or a total of (8 * 4) - 5 = 27 gumballs. If Hector had 6 gumballs remaining, he originally purchased 4 + 8 + 27 + 6 = 45 gumballs.
The answer: 45
Reverse engineering the question: Hector purchased a container of gumballs. He gave 4 to Todd, then he gave twice as many as he had given Todd to Alisha, and then he gave 5 less than four times as many to Bobby as he had given to Alisha. If Hector had 6 gumballs remaining, what is the total number of gumballs that Hector purchased?
Reasoning and answer: In three years, Michael will have 30 + 100 = 130 trophies. If Michael has 30 trophies now, Jack will have 10 * 30 = 300 in three years. Altogether, Jack and Michael will have 300 + 130 = 430 handball trophies in three years.
The answer: 430
What was the question?
Question: Jack will have ten times more handball trophies than Michael has right now in three years. If Michael has 30 trophies right now, and the number of his trophies increases by 100 in three years, what's the total number of trophies they'll have altogether after three years?
If Justin has 14 dogs, Rico, who has 10 more dogs than Justin, has 14 + 10 = 24 dogs. Since Camden just bought 3 / 4 times as many dogs as Rico, he bought 3 / 4 * 24 = 18 dogs. A dog has four legs, so Camden's 18 dogs have 18 * 4 = 72 legs.
The answer: 72
Reverse engineering the question: Camden just bought 3/4 times as many dogs as Rico, who has 10 more dogs than Justin. If Justin has 14 dogs, what's the total number of legs that Camden's dogs have?
Reasoning and answer: One clerk can process 25 x 8 = 200 forms in a day. To process the forms for that day 2400 / 200 = 12 clerks must be hired.
The answer: 12
What was the question?
Question: A clerk can process 25 forms per hour. If 2400 forms must be processed in an 8-hour day, how many clerks must you hire for that day?
First find how many ml of water Jason needs for 1 gram of charcoal: 30 ml / 2 grams = 15 ml / g. Then divide the amount of water Jason uses by the amount of water per gram of charcoal to find how much charcoal he uses: 900 ml / 15 ml / g = 60 g.
The answer: 60
Reverse engineering the question: Jason is mixing a batch of black paint. He needs to add 2 grams of charcoal for every 30 ml of water. If he adds 900 ml of water, how much charcoal does he add?
Monday, Wednesday, and Friday, Harry walks a total of 3 * 7 = 21 dogs. Thus, in a week he walks 21 + 12 + 9 = 42 dogs. At a rate of $5 per dog, Harry ears $5 * 42 = $210 per week.
The answer: 210
Reverse engineering the question:
Harry is a professional dog-walker. He is paid to go on long walks with dogs while their families are away from home. On Monday, Wednesday, and Friday, Harry walks 7 dogs. On Tuesday, he walks 12 dogs. And on Thursday he walks 9 dogs. He is paid $5 for each dog that he walks. How many dollars does Harry earn in a week?