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: Step-by-step reasoning process: 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.
So the answer is 360.

Question: Corveus sleeps 4 hours a day and his doctor recommended for him to sleep 6 hours a day. How many hours of sleep does Corveus lack in a week?
Answer: Step-by-step reasoning process: Corveus lacks 6 - 4 = 2 hours of sleep every day. Therefore, Corveus' total hours of lack of sleep every week is 2 x 7 = 14.
So the answer is 14.

Question: Joe likes to play video games and he normally spends $50 a month on video games. Joe also sells his games for $30 each once he is done playing them. If he starts with $240, how many months can he buy games at $50 and sell them at $30 before he is out of money?
Answer: Step-by-step reasoning process: Joe can buy a game for $50 and sell it for $30, so he is losing $50 - $30 = $20 each month when he buys and sells a game. Joe starts out with $240 and he buys a game and sells a game he loses $20 per month, so it will take $240 / $20 = 12 months until he is out of money.
So the answer is 12.

Question: Bridge and Sarah have $3 between them. If Bridget has 50 cents more than Sarah, how many cents does Sarah have?
Answer:
Step-by-step reasoning process: Let X be the amount of money Sarah has, so Bridget has X + 50 cents. We know that Sarah and Bridget combined have $3, or 300 cents, so X + X + 50 = 300. We therefore know that 2X = 250. So Sarah has 250 / 2 = 125 cents.
So the answer is 125.