Q: Adam has 18 magnets. He gave away a third of the magnets, and he still had half as many magnets as Peter. How many magnets does Peter have?
A: 24
Step-by-step reasoning process: Adam gave away 18 / 3 = 6 magnets. Adam had 18 - 6 = 12 magnets left. Peter has 12 * 2 = 24 magnets.


Q: Aubrie has four cards with the labels W, X, Y, Z printed on them. W is tagged with the number 200, X is tagged with half the number W is tagged with, Y is tagged with the total of X and W's tags and Z is tagged with the number 400. Calculate the total of all the tagged numbers.
A: 1000
Step-by-step reasoning process: If the card with the letter X has half the number the card with letter W has, it has 1 / 2 * 200 = 100. Together, cards with letters W and X have tags that total 100 + 200 = 300. If the card with the letter Y has the total of the numbers cards with letters, W and X have, then the total for cards with letters W, X, and Y is 300 + 300 = 600. Since the card with the letter Z has a tag of 200, the total of the numbers the tags have is 600 + 400 = 1000.


Q: Jenny's property tax rate is 2%. Her house is currently worth $400,000. The city is about to build a new high-speed rail project nearby, which will increase her house's value by 25%. Jenny can only afford to spend $15,000/year on property tax. How many dollars worth of improvements can she make to her house before her property tax bill gets too high?
A: 250000
Step-by-step reasoning process: First find how much the rail project will increase the house value by multiplying the initial value by 25%: $400,000 * .25 = $100,000. Then add that amount to the initial value to find the new value: $100,000 + $400,000 = $500,000. Then divide the maximum amount of property tax Jenny can afford to pay by the property tax rate to find the maximum value her house can have: $15,000 / .02 = $750,000. Now subtract the house's value after the rail project from the maximum value to find how much value the improvements can have: $750,000 - $500,000 = $250,000.


Q: There are 40 more buyers in the grocery store today than yesterday. There were half the number of buyers yesterday as there were the day before, and the day before had 50 buyers. Nobody visited the store on more than one day. What's the total number of buyers who've visited the store in the three days?
A: 140
Step-by-step reasoning process: If yesterday the number of buyers was half the number of buyers the day before, then yesterday there were 1 / 2 * 50 = 25 buyers. Today has 40 more buyers than yesterday, so there were 40 + 25 = 65 buyers today. The total number of buyers in the store for the three days will be 65 + 25 + 50 = 140 buyers.