Question: A movie that's 1.5 hours long is being replayed 6 times in one movie theater each day. There is a 20-minute advertisement before the start of the movie. How long, in hours, does the movie theater operate each day?
Answer: The movie that is being replayed 6 times takes 1.5 x 6 = 9 hours. The advertisements before the start of the movie take 20 x 6 = 120 minutes in all. One hundred twenty minutes is equal to 120 / 60 = 2 hours. Thus, the movie theater operates for 9 + 2 = 11 hours each day. The answer is 11.
[Question]Kate has 2 red balloons and 4 blue balloons. Assuming she inflates 4 more balloons, two of each color red and blue, what is the percent likelihood that one selected at random will be red?
[Answer]After inflating the 4 new balloons, she will have 2 red + 4 blue + 4 new = 10 total balloons. The probability of selecting red will be (2 red + 2 red newly inflated) / 10 total balloons = 40%. The answer is 40.
Q: 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?
A: 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.
Question: Since the 40th president launched his reelection campaign today, he has raised $10,000 in campaign funds. His friends raised 40% of this amount and his family raised 30% of the remaining amount. The rest of the funds are from his own savings for the election. How much did he save for the presidency?
Answer: The total amount of money raised from friends contribution is 40 / 100 * $10000 = $4000. Minus his friend's contribution, the 40th president has raised $10000 - $4000 = $6000. The family raised 30 / 100 * $6000 = $1800. If the family raised $1800, the savings the 40th president had for the campaign is $6000 - $1800 = $4200. The answer is 4200.
[Question]Victor has 8 flower stickers. He has 2 fewer animal stickers than flower stickers. How many stickers does Victor have in total?
[Answer]Victor has 8 stickers - 2 stickers = 6 animal stickers. In total Victor has 8 stickers + 6 stickers = 14 stickers. The answer is 14.
[Question]Danny brings 3 watermelons to his family picnic. He cuts each watermelon into 10 slices. His sister brings 1 watermelon to the family picnic, and she cuts the watermelon into 15 slices. How many watermelon slices are there in total at the picnic?
[Answer]
From Danny, there are 3 * 10 = 30 watermelon slices. From his sister, there are 1 * 15 = 15 watermelon slices. There are a total of 30 + 15 = 45 watermelon slices. The answer is 45.