[Question]Michael has a lot of matchsticks at home and decides to use them to make miniature models. As he is about to start crafting, he has second thoughts and decides to only use half of his pile of matchsticks. He creates 30 matchsticks houses. If he has now used all of the matchsticks he intended to and each matchstick house uses 10 matchsticks, how many matchsticks did Michael have originally?
[Answer]Michael has used a total of 30 matchstick houses * 10 matchsticks per matchstick house = 300 matchsticks. As he only used half of his collection for crafting, he must have originally had 300 matchsticks * 2 = 600 matchsticks. The answer is 600.
Q: Hans booked a room in a hotel. The hotel has 10 floors with 10 identical rooms on each floor. Because of an accident, the last floor is unavailable for the guests. Considering there are no other guests, in how many different rooms could Hans be checked in?
A: The hotel has in total 10 floors * 10 rooms / floor = 100 rooms. One floor is unavailable, so Hans could be checked into 100 rooms - 10 rooms = 90 available rooms. The answer is 90.
Question: Bobby has 16 toy cars, and the number of cars he has increases by 50% every year. How many toy cars will Bobby have in three years?
Answer: In the first year, Bobby will acquire 16 * .5 = 8 new cars. After the first year, he will have a total of 16 + 8 = 24 cars. In the second year, Bobby will acquire 24 * .5 = 12 new cars. After the second year, he will have 24 + 12 = 36 cars in total. In the third year, Bobby will acquire 36 * .5 = 18 new cars. After the third year, he will have 36 + 18 = 54 cars in total. The answer is 54.
[Question]Miss Grayson's class raised $50 for their field trip. Aside from that, each of her students contributed $5 each. There are 20 students in her class, and the cost of the trip is $7 for each student. After all the field trip costs were paid, how much is left in Miss Grayson's class fund?
[Answer]The contribution of the students amounted to $5 x 20 = $100. So Miss Grayson's class had $100 + $50 = $150 in all. The cost of the field trip amounted to $7 x 20 = $140. Therefore, the class of Miss Grayson is left with $150 - $140 = $10. The answer is 10.
Q: Joe buys 3 oranges, 7 juices, 3 jars of honey, and 4 plants at the market. The fruit costs $4.50 each, the juice was 50 cents each, the jars of honey were $5, and the plants were 2 for $18. How much does Joe spend at the market?
A: Joe spends 4.50 * 3 = 13.50 on oranges. Joe spends 7 * 0.5 = 3.50 on juice. Joe spends 3 * 5 = 15 on honey. Each plant costs 18 / 2 = 9 dollars. Joe spends 9 * 4 = 36 on plants. Joe spends a total of 13.50 + 3.50 + 15 + 36 = 68 dollars at the market. The answer is 68.
Question: Buying a toaster requires an insurance plan that is 20% of the MSRP, plus a mandatory state tax rate of 50% after the insurance plan calculation. Jon chooses to buy a toaster that costs $30 at MSRP. What is the total he must pay?
Answer:
The insurance plan costs $30 * 0.2 = $6. The pre - state tax total is $30 + $6 = $36. State tax will be $36 * 0.5 = $18. Jon needs to pay $18 + $36 = $54 for his new toaster. The answer is 54.