Question: Tony puts $1,000 in a savings account for 1 year. It earns 20% interest. He then takes out half the money to buy a new TV. The next year, the remaining money earns 15% interest. How much is now in the account?
Answer: After one year he earns $200 in interest because 1,000 x .2 = 200. After one year it has $1,200 in the account because 1,000 + 200 = 1,200. He takes out $600 because 1,200 / 2 = 600. After this it has $600 in it because 1,200 - 600 = 600. She earns $90 in interest because 600 x .15 = 90. The account now has $690 because 600 + 90 = 690. The answer is 690.
[Question]Veronica's flashlight was bright enough to be seen at night from a distance of 1000 feet. Freddie's flashlight could be seen at night for a distance three times farther than Veronica's flashlight, and Velma's flashlight could be seen at night from a distance 2000 feet less than 5 times farther than Freddie's flashlight. If Veronica's and Velma's flashlight were placed next to one another and turned on at night, how much farther, in feet, could Velma's flashlight be seen compared to Veronica's?
[Answer]Freddie's flashlight could be seen at night for a distance three times farther than Veronica's flashlight, for a total distance of 3 * 1000 = 3000 feet. Five times farther than the distance from which Freddie's flashlight can be seen at night is 5 * 3000 = 15,000 feet. Velma's flashlight could be seen at night from a distance 2000 feet less than 5 times farther than Freddie's flashlight, for a total distance of 15,000 - 2,000 = 13,000 feet. Compared to Veronica's flashlight, Velma's flashlight could be seen for a distance of 13,000 - 1,000 = 12,000 feet farther. The answer is 12000.
Q: Sun City has 1000 more than twice as many people as Roseville City. Roseville city has 500 less than thrice as many people as Willowdale city. If Willowdale city has 2000 people, how many people live in Sun City?
A: Roseville city has 3 * 2000 - 500 = 5500 people. Sun City has 2 * 5500 + 1000 = 12000 people. The answer is 12000.
Question: John plays paintball 3 times a month. Each time he plays he buys 3 boxes of paintballs. They cost $25 per box. How much does he spend a month on paintballs?
Answer: He spends 3 * 25 = $75 each time he plays. So he spends 75 * 3 = $225. The answer is 225.
[Question]Mary goes with her 3 children to the circus. Tickets cost $2 for adults and $1 for children. Mary pays with a $20 bill. How much change will she receive?
[Answer]Mary's ticket costs $2 / ticket * 1 ticket = $2. Mary's children's tickets cost 3 tickets * $1 = $3. Together the tickets cost $2 + $3 = $5. After paying with a 20 - dollar bill, Mary will receive $20 - $5 = $15. The answer is 15.
[Question]Marcus takes a deck of standard playing cards and takes out all the face cards and the 8's. Mark picks a card at random and then replaces it 36 times. How many times should he expect to pick a card that's both red and has a number divisible by 3?
[Answer]
Without the face cards and the 8's, there are 9 cards of each suit. Half these cards are red, and 3 / 9 have numbers divisible by 3, so the odds of drawing a card divisible by 3 are 1 / 3. Multiply the odds of drawing a red card by the odds of drawing a card divisible by 3 to find the odds of both things happening: 1 / 3 * 1 / 2 = 1 / 6. Finally, multiplying the probability of drawing a red / 3 - divisible card by the number of cards Mark draws to find how many he should expect to meet his criteria: 1 / 6 * 36 cards = 6 cards. The answer is 6.