[Question]Nicki spent the last year running a lot. For the first half of the year, she ran a total of 20 miles per week. For the second half of the year, she increased the mileage to 30 miles per week. How many miles total did she run for the year?
[Answer]Each half of the year consists of 52 / 2 = 26 weeks. For the first half of the year, Nicki ran a total of 20 * 26 = 520 miles. For the second half of the year, Nicki ran a total of 30 * 26 = 780 miles. For the entire year, Nicki ran a total of 520 + 780 = 1,300 miles. The answer is 1300.
Q: Farmer Brown fed 7 chickens and 5 sheep. How many total legs were there among the animals he fed?
A: The chickens had 7 * 2 = 14 legs. The sheep had 5 * 4 = 20 legs. There were 14 + 20 = 34 legs. The answer is 34.
Question: Missy watches 5 28-minute reality shows and one 10-minute cartoon. How long does she spend watching TV?
Answer: First find the total time Missy spends watching reality shows: 5 shows * 28 minutes / show = 140 minutes. Then add that amount to the time she spends watching the cartoon: 140 minutes + 10 minutes = 150 minutes. The answer is 150.
[Question]Alyssa, Keely, and Kendall ordered 100 chicken nuggets from a fast-food restaurant. Keely and Kendall each ate twice as many as Alyssa. How many did Alyssa eat?
[Answer]To figure out this problem we need to turn it into an equation. Let’s make A the number of nuggets Alyssa ate. We know all three girls ate 100 nuggets total, so 100 nuggets = A (how many Alyssa ate) + 2A (how many Keely ate) + 3A (how many Kendall ate) or 100 = A + 2A + 3A which is 100 = 5A. Then we will divide each side by 5 to figure out how many nuggets Alyssa ate, 100 / 5 = 5A / 5 or 20 = A. The answer is 20.
Q: Amelia has $60 to spend on her dinner at a restaurant. The first course costs $15 and the second course $5 more. The cost of the dessert is 25% of the price of the second course. How much money will Amelia have left after buying all those meals?
A: The second course cost Amelia $15 + $5 = $20. The dessert cost 25 / 100 * $20 = $5. That leaves Amelia with $60 - $15 - $20 - $5 = $20. The answer is 20.
Question: A tank with a capacity of 8000 gallons is 3/4 full. Daxton empty's the tank by 40% of the total volume of water in the tank to water his vegetable farm. He then fills the tank with 30% of the volume of water remaining in the tank. Calculate the final volume of water in the tank.
Answer:
The volume of water that is in the tank initially is 3 / 4 * 8000 = 6000 gallons. When Daxton empties 40% of the water, he pumps out 40 / 100 * 6000 = 2400 gallons of water. The total volume of water remaining in the tank is 6000 - 2400 = 3600 gallons. Daxton then fills the tank with 30 / 100 * 3600 = 1080 gallons of water. The final volume of water in the tank is 3600 + 1080 = 4680 gallons. The answer is 4680.