[Question]Maria wants to buy a brand new bike. The retail price at the bike shop stands at $600. She saved $120 toward the purchase. As this was not enough, she asked her mother to give her the remaining amount. Her mother offered her $250 and told her that she needs to earn the rest working during the holidays. How much money must Maria earn to be able to buy the bike she wants?
[Answer]Maria has $120 and received $250 from her mother. So she has 120 + 250 = $370. As the price of the bike stands at $600, Maria needs 600 370 = $230 more to buy the bike. The answer is 230.
Q: At a flea market, Hillary sells handmade crafts for 12 dollars per craft. Today, Hillary sells 3 crafts and is given an extra 7 dollars from an appreciative customer. Later on, Hillary deposits 18 dollars from today's profits into her bank account. How many dollars is Hillary left with after making the deposit?
A: Hillary sells 3 crafts for 12 dollars each, for a total of 3 crafts * $12 / craft = $36. She receives an extra 7 dollars from a customer, increasing the total to $36 + $7 = $43. She then deposits 18 dollars in the bank, leaving her with $43 - $18 = $25. The answer is 25.
Question: Daniel has a collection of 346 video games. 80 of them, Daniel bought for $12 each. Of the rest, 50% were bought for $7. All others had a price of $3 each. How much did Daniel spend on all the games in his collection?
Answer: On 80 games, Daniel spend 80 games * $12 / game = $960. The rest of the collection is 346 games - 80 games = 266 games. 50% of these games means 50 / 100 * 266 games = 133 games. Daniel bought them for $7 each, so he had to spend 133 games * $7 / game = $931 on them. The other 133 games were bought for $3 each, so they've cost him 133 games * $3 / game = $399. On all games in total Daniel spent $960 + $931 + $399 = $2290. The answer is 2290.
[Question]Omi is twice as old as Kimiko. Arlette is 3/4 times as old as Kimiko. If Kimiko is 28 years old, calculate the average age of the three?
[Answer]If Kimiko is 28, Omi is 2 * 28 years = 56 years old. Arlette is 3 / 4 * 28 years = 21 years old. If you add up their ages, it sums to 21 years + 56 years + 28 years = 105 years. The average age for the three is 105 years / 3 people = 35 years / person. The answer is 35.
Q: Josh and Anna were both born on August 17th, but in different years. To consolidate celebrations they also got married on August 17 when Josh turned 22. If today they're celebrating 30 years of marriage and their combined age is exactly 5 times what Josh's age was when they married, how old was Anna when they got married?
A: We know that Josh must be 30 years older than his age when they got married, therefore he is 30 + 22 = 52 years old today. If their current combined age is 5 times the age Josh was when they married (22), then their total combined age is 5 * 22 = 110 years. That means that Anna must be 110 - 52 = 58 years old today. If they married 30 years ago, Anna must have been 58 - 30 = 28 years old when they married. The answer is 28.
Question: Tracy, Michelle, and Kati take a road trip that is a total of 1000 miles. Tracy drives 20 miles more than twice Michelle, and Michelle drives 3 times the amount that Katie drives. How many miles does Michelle drive?
Answer:
Let x represent the number of miles Kati drives. Michelle:3x. Tracy:20 + 2(3x) = 20 + 6x. Total:x + 3x + 20 + 6x = 1000. 10x + 20 = 1000. 10x = 980. x = 98 miles. 3(98) = 294 miles. The answer is 294.