[Question]A rancher owns a mixture of 8 sheep and 5 cattle that graze on his land. In a typical year, the rancher will allow his animals to feed off his pastures for as long as possible before they run out of grass. After the pastures run out of grass, he must buy feed corn for $10 per bag. Each cow eats 2 acres of grass per month, and each sheep eats 1 acre of grass per month. Additionally, a bag of feed corn can feed each cow for 1 month and each sheep for 2 months. If the rancher's pasture contains 144 acres of grass, how much will the rancher need to spend on feed corn to feed his animals each year?
[Answer]First, the 144 acres of grass will be eaten according to the equation 5 * 2 * T + 8 * 1 * T = 144. Solving this equation for T, we find 18 * T = 144, or T = 8 months of food are covered by the animals grazing on the rancher's pasture. This means the farmer must buy feed corn for the remaining 12 - 8 = 4 months. Next, the rancher's 8 sheep will require 4 / 2 = 2 bags of feed corn each, or 8 * 2 = 16 bags of feed corn in total for the 4 month period. The rancher's 5 cows will require 4 / 1 = 4 bags of feed corn each, or 5 * 4 = 20 bags of feed corn in total for the month. Therefore, the rancher needs 16 + 20 = 36 bags of feed corn for all of his animals. So, the rancher will need to spend 36 * 10 = $360 per year on feed corn. The answer is 360.
Q: Laran has started a poster business. She is selling 5 posters per day at school. Two posters per day are her large posters that sell for $10. The large posters cost her $5 to make. The remaining posters are small posters that sell for $6. They cost $3 to produce. How much profit, in dollars, does Laran make per 5-day school week?
A: The profit made for each large poster is $10 - $5 = $5. Each day Laran earns $5 * 2 = $10 from selling large posters. The profit made for each small poster is $6 - $3 = $3. Each day Laran earns $3 * 3 = $9 from selling small posters. Laran makes a total profit of $10 + $9 = $19 per day. For a 5 day school week, Laran makes a profit of 5 * $19 = $95. The answer is 95.
Question: A company has 100 employees. 60% of the employees drive to work. Of the employees who don't drive to work, half take public transportation. How many employees use public transportation to get to work?
Answer: Drive to work:100(.60) = 60. Don't Drive to work:100 - 60 = 40. Public Transportation:40(.50) = 20 employees. The answer is 20.
[Question]Nancy, the librarian, is shelving books from the cart. She shelved 12 history books, 8 romance books, and 4 poetry books from the top section of the cart. Half the books on the bottom section of the cart were mystery books, which she quickly put back into place. Then, she shelved the remaining books from the bottom of the cart, including 5 Western novels and 6 biographies. How many books did she have on the book cart when she started?
[Answer]Half of the books on the bottom section of the cart are mystery books, which means they are the same as the number of Western novels and biographies put together. So there are 5 + 6 = 11 mystery novels. Add them all together, and there are 12 history + 8 romance + 4 poetry + 11 mystery + 5 Western + 6 biographies = 46 books total. The answer is 46.
Q: Joel is 5 years old and his dad is 32 years old. How old will Joel be when his dad is twice as old as him?
A: The difference in age between Joel and his dad is 32 - 5 = 27 years. When you double this gap in years, you have 27 x 2 = 54. When his dad is 54, Joel will be 54 / 2 = 27 years old. The answer is 27.
Question: Carolyn wants to embroider her new jeans. She can sew 4 stitches/minute. A flower takes 60 stitches to embroider, a unicorn takes 180 stitches, and Godzilla takes 800 stitches. If Carolyn wants to embroider Godzilla crushing 3 unicorns and 50 flowers, how many minutes does she need to spend embroidering?
Answer:
First find the total stitches in all the flowers by multiplying the number of stitches per flower by the number of flowers: 50 flowers * 60 stitches / flower = 3000 stitches. Then do the same for the total number of stitches in the unicorns: 3 unicorns * 180 stitches / unicorn = 540 stitches. Then add the number of stitches for all the flowers, unicorns, and Godzilla to find the total number of stitches: 800 stitches + 540 stitches + 3000 stitches = 4340 stitches. Finally, divide the total number of stitches by the number of stitches Carolyn can make per hour to find how many hours she spends embroidering: 4340 stitches / 4 stitches / minute = 1085 minutes. The answer is 1085.