[Question]Lana and her friends go to a theater on the weekend to watch a new play Joan told them was live. When they arrived, Lana saw 100 cars in the front parking lot. She saw two times more vehicles at the back than there were in the front parking lot. If the total number of cars at the end of the play was 700, how many more cars packed into the parking lot during the play?
[Answer]The number of cars in the back parking lot was 100 * 2 = 200 times more than those in the front parking lot. There were 200 + 100 = 300 cars in the back parking lot. A total of 300 + 100 = 400 cars were present before the play began. The total number of cars that parked in the theater during the play is 700 - 400 = 300 cars. The answer is 300.
Q: Janice adds 2 tablespoons of koolaid power and 16 tablespoons of water to a jug. She leaves it out long enough for 4 tablespoons of water to evaporate. Then she quadruples the amount of water in the jug. What percentage of the liquid in the jug is koolaid powder?
A: First find how many tablespoons of water are left after the evaporation: 16 tbs - 4 tbs = 12 tbs. Then multiply this number by 4 to find how much water is in the jug after Janice refills it: 12 tbs * 4 = 48 tbs. Now add the 2 tablespoons of koolaid powder to find the total volume of the liquid in the jug: 48 tbs + 2 tbs = 50 tbs. Now divide the volume of the koolaid powder by the total volume and multiply by 100% to find the percentage of the liquid that's koolaid: 2 tbs / 50 tbs * 100% = 4%. The answer is 4.
Question: Yuan is 7 years older than his brother David and twice his age. How old is David?
Answer: Let x be David's age. Yuan is seven years older than David, 7 + x = Y years. Yuan is also twice David's age, 2 * x = Y years. Since these two equations equal the same thing, we can write: 7 + x = 2 * x. Subtracting x from both sides we get 7 = x, so David is 7 years old. The answer is 7.
[Question]A party of 4 order 3 dozen oysters on the half shell for $15.00 a dozen, 2 pounds of steamed shrimp for $14.00 a pound and 2 pounds of fried clams for $13.50 a pound. If they split the bill equally, how much will they each owe?
[Answer]They ordered 3 dozen oysters at $15.00 a dozen so that's 3 * 15 = $45.00. They ordered 2 pounds of shrimp for $14.00 a pound so that's 2 * 14 = $28.00. They ordered 2 pounds of fried clams for $13.50 a pound so that's 2 * 13.50 = $27.00. All total their bill comes to 45 + 28 + 27 = $100.00. Their bill was $100.00 and they are splitting it equally amongst 4 people so they each owe 100 / 4 = $25.00. The answer is 25.
Q: Seth lost 17.5 pounds. Jerome lost three times that many pounds and Veronica lost 1.5 pounds more than Seth. How many pounds did the 3 people lose in total?
A: Seth = 17.5 pounds. Jerome = 3 * 17.5 = 52.5 pounds. Veronica = 17.5 + 1.5 = 19 pounds. Total = 17.5 + 52.5 + 19 = 89 pounds. The 3 people lost a total of 89 pounds. The answer is 89.
Question: On each of 7 Mondays, it rained 1.5 centimeters. On each of 9 Tuesdays it rained 2.5 centimeters. How many more centimeters did it rain on Tuesdays than Mondays?
Answer:
Mondays: 7 * 1.5 = 10.5. Tuesdays: 9 * 2.5 = 22.5. 22.5 - 10.5 = 12 cm. It rained 12 centimeters more on Tuesdays than on Mondays. The answer is 12.