Question: Rodney has 35 dollars more than Ian. Ian has half as much money as Jessica has. If Jessica has 100 dollars, how much more money does Jessica have than Rodney?
Answer: Ian has 100 / 2 = 50 dollars. Rodney has 50 + 35 = 85 dollars. Jessica has 100 - 85 = 15 more dollars than Rodney. The answer is 15.
[Question]Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income?
[Answer]Let her previous monthly income be p. The cost of her rent and utilities was 40% of p which is (40 / 100) * p = 2p / 5. Her income was increased by $600 so it is now p + $600. The cost of her rent and utilities now amount to 25% of (p + $600) which is (25 / 100) * (p + $600) = (p + $600) / 4. Equating both expressions for cost of rent and utilities: 2p / 5 = (p + $600) / 4. Multiplying both sides of the equation by 20 gives 8p = 5p + $3000. Subtracting 5p from both sides gives: 3p = $3000. Dividing both sides by 3 gives p = $1000. The answer is 1000.
Q: A new movie gets released and makes $120 million in the box office for its opening weekend. It ends up making 3.5 times that much during its entire run. If the production company gets to keep 60%, how much profit did they make if the movie cost $60 million to produce?
A: Over the movies run it made 120 * 3.5 = 420 million. So the production company made 420,000,000 * .6 = $252,000,000. So they got a profit of 252,000,000 - 60,000,000 = $192,000,000. The answer is 192000000.
Question: Ben has four boxes with ten basketball cards in each box. His mother gave him five boxes with eight baseball cards. If he gives 58 cards to his classmates, how many cards does he has left?
Answer: Ben has 4 x 10 = 40 basketball cards. His mother gave him 5 x 8 = 40 baseball cards. Thus, Ben has 40 + 40 = 80 cards in all. Therefore, Ben has 80 - 58 = 22 cards left. The answer is 22.
[Question]Zion made a triangular-shaped house of cards with the base having a measurement of 40 centimeters and a height of 20 centimeters. If two of his friends also built similar shaped houses, what's the total area of the triangular houses that Zion and his friends made (the area of a triangle is 1/2 * width * height)?
[Answer]Since the area of a triangle is given by 1 / 2 base * height, the area of the triangular - shaped house of cards that Zion made is 1 / 2 * 40 * 20 = 400 square centimeters. If two of his friend also built similar shaped houses, the total area of their triangular - shaped house of cards is 400 + 400 = 800 square centimeters. Together with Zion, they all built triangular - shaped houses of cards with a combined area of 800 + 400 = 1200 square centimeters. The answer is 1200.
[Question]Arlene hiked 24 miles on Saturday, carrying a 60-pound backpack. She is exactly 5 feet tall. She spent 6 hours hiking. The temperature during the day was 60 degrees Fahrenheit. What was Arlene's average hiking pace, in miles per hour?
[Answer]
She hiked 24 miles. She spent 6 hours hiking. Her average pace was 24 / 6 = 4 mph. The answer is 4.