[Question]When Jeffrey walks, for every three steps forward, he takes two steps backwards. Therefore, if the distance between the house and the mailbox is 66 steps, what is the total number of steps Jeffrey takes when he goes from the house to the mailbox?
[Answer]For every 3 steps forward, he adds 2 more backwards so each 'step' gained costs 5 actual steps. 66 steps distance * 5 steps moved = 330 steps total. The answer is 330.
Q: A few friends are making a small movie. They hire a few actors and that cost $1200. They also get food for the 50 people there. Each person gets $3 worth of food. Equipment rental costs twice as much as food and actors combined. They sold the movie for $10,000. How much profit did they make?
A: The food cost 3 * 50 = $150. So the total cost without equipment rental was 1200 + 150 = $1350. So equipment rental cost 1350 * 2 = $2700. So the total cost was 2700 + 1350 = $4050. That means they made 10000 - 4050 = $5950. The answer is 5950.
Question: Ravi has some coins. He has 2 more quarters than nickels and 4 more dimes than quarters. If he has 6 nickels, how much money does he have?
Answer: Ravi has 6 + 2 = 8 quarters. He has also 8 + 4 = 12 dimes. A nickel is worth 5 cents so Ravi's nickels amount to 6 x 5 = 30 cents. A quarter is worth 25 cents so his quarters amount to 8 x 25 = 200 cents. A dime is worth 10 cents so his dimes amount to 12 x 10 = 120 cents. therefore, Ravi has 30 + 200 + 120 = 350 cents. The answer is 350.
[Question]Daisy is climbing trees all around her neighborhood and starts to notice the number of branches and the height. The first tree she climbs is 50 feet tall and has 200 branches. The second tree she climbs is 40 feet tall and has 180 branches. The third tree she climbs is 60 feet tall and has 180 branches. The final tree she climbs is 34 feet tall and has 153 branches. On average, how many branches do these trees have per foot?
[Answer]The first tree has 4 branches per foot because 200 / 50 = 4. The second tree tree has 4.5 branches per foot because 180 / 40 = 4.5. The third tree has 3 branches per foot because 180 / 60 = 3. The fourth tree has 4.5 branches per foot because 153 / 34 = 4.5. The total branches per foot is 16 because 4 + 4.5 + 3 + 4.5 = 16. The average branches per foot is 4 because 16 / 4 = 4. The answer is 4.
Q: Zion is 8 years old and his dad is 3 more than 4 times his age. In 10 years, how many years older is Zion's dad than him?
A: Four times Zion's age is 8 x 4 = 32. So Zion's dad is 32 + 3 = 35 years old. In 10 years, Zion will be 8 + 10 = 18 years old. In 10 years, Zion's dad will be 35 + 10 = 45 years old. Hence, in 10 years, Zion's dad will be 45 - 18 = 27 years older than Zion. The answer is 27.
Question: Danielle bought a new house for $280k. She paid a $40k deposit on the house, and pays the rest using a mortgage that is spread out over 10 years. Danielle makes equal payments every month and at the end of the 10 years, the entire balance will be paid off. How much, in thousands of dollars, does Danielle pay each month?
Answer:
After paying the deposit, Danielle still has to pay a total of $280k purchase price - $40k deposit = $240k via her mortgage. As the mortgage is over 10 years, Danielle's payments need to total $240k mortgage balance / 10 years = $24k per year. So each month, Danielle has to pay $24k per year / 12 months in a year = $2k per month. The answer is 2.