[Question]Apple and peach trees are planted in the orchard of the Grange Poser farm. The orchard has 30 apple trees that each give 150 kg of apples and 45 peach trees that each produce an average of 65 kg of fruit. What is the total mass of fruit harvested in this orchard?
[Answer]Let’s first calculate what the apple trees produce: 30 trees * 150 kg / tree = 4500 kg. Then let's calculate what the peaches produce: 45 trees * 65 kg / tree = 2925 kg. We add these two masses: 4500 kg + 2925 kg = 7425 kg. The answer is 7425.
Q: In a class of 300 students, the number of smoking teens is 40% of the class. In a year, 70% of the smoking students are hospitalized from smoking-related complications. Calculate the total number of smoking students from the class who have not been hospitalized from smoking-related complications.
A: If the class has 300 students, there are 40 / 100 * 300 = 120 smoking students. In a year, 70% of the smoking students are hospitalized from smoking - related complications, a total of 70 / 100 * 120 = 84 students. The number of smoking students who've not been hospitalized from smoking - related complications is 120 - 84 = 36. The answer is 36.
Question: Three cats sat on a fence, meowing at the moon. The first cat meowed 3 times per minute. The second cat meowed twice as frequently as the first cat. And the third cat meowed at one-third the frequency of the second cat. What is the combined total number of meows the three cats make in 5 minutes?
Answer: The second cat meowed twice as frequently as the three meows per minute from the first cat, for a total of 2 * 3 = 6 meows per minute. The third cat meowed at one - third the frequency of the second cat, for a total of 6 / 3 = 2 meows per minute. Thus, combined, the three cats meow 3 + 6 + 2 = 11 times per minute. In five minutes, the three cats meow 5 * 11 = 55 times. The answer is 55.
[Question]Mark buys a loaf of bread for $4.20 and some cheese for $2.05. He gives the cashier $7.00. If the cashier only has 1 quarter and 1 dime in his till, plus a bunch of nickels, how many nickels does Mark get in his change?
[Answer]First subtract the cost of Mark's groceries from the amount he gives the cashier to find how much he gets in change: $7.00 - $4.20 - $2.05 = $0.75. Then subtract the value of a quarter in cents (25) and the value of a dime in cents (10) from the change amount to find how much Mark gets paid in nickels: $0.75 - $0.25 - $0.10 = $0.40. Now divide the amount Mark gets in nickels by the value per nickel in cents (5) to find how many nickels Mark gets: $0.40 / $0.05 / nickel = 8 nickels. The answer is 8.
Q: John buys 500 newspapers. Each newspaper sells for $2. He sells 80% of them. He buys them all for 75% less than the price at which he sells them. How much profit does he make?
A: He sells 500 * .8 = 400 newspapers. He sells them for 400 * 2 = $800. He gets a discount of 2 * .75 = $1.5 on the newspapers. So he buys them for 2 - 1.5 = $.5. So he spent 500 * .5 = $250 buying them. That means he made a profit of 800 - 250 = $550. The answer is 550.
Question: Eden's mom is twice as old as Eden, who is twice as old as Devin. If Devin is 12 years old, what's the average age of the three?
Answer:
If Devin is 12 years old, then Eden is 2 * 12 years = 24 years old. Since Eden's mom two times older than Eden, her age is 24 years * 2 = 48 years. In total, they have 48 years + 24 years + 12 years = 84 years. The average age for the three is 84 years / 3 people = 28 years / person. The answer is 28.