[Question]Wendi lives on a plot of land that is 200 feet by 900 feet of grassland. She raises rabbits on her property by allowing the rabbits to graze on the grass that grows on her land. If one rabbit can eat enough grass to clear ten square yards of lawn area per day, and Wendi owns 100 rabbits, how many days would it take for Wendi's rabbits to clear all the grass off of her grassland property?
[Answer]One square yard is the same as 3 feet by 3 feet, or 3 * 3 = 9 square feet. Ten square yards is 9 * 10 = 90 square feet. Therefore, 100 rabbits can clear 100 * 90 = 9,000 square feet of grassland per day. A 200 ft by 900 ft area is 200 * 900 = 180,000 square feet. Thus, 180,000 sq ft can be cleared by 100 rabbits in 180,000 / 9000 = 20 days. The answer is 20.
Q: Jim decides to buy mayo in bulk. He can buy 1 gallon of mayo at Costco for 8 dollars. At the normal store, a 16-ounce bottle costs $3. How much money does he save by buying the gallon container?
A: A gallon is 1 * 128 = 128 ounces. So he needs to buy 128 / 16 = 8 of the small bottles. That would cost 8 * 3 = 24 dollars. So he saves 24 - 8 = $16. The answer is 16.
Question: Tiffany attends the carnival and her mother gives her $3 to play on a ring toss game. For every red bucket she tosses a ring into she gets 2 points. For every green bucket she gets three points. She gets zero points for a miss. Every play costs her $1 and she gets 5 rings per play. She's played two games and already gotten 4 red buckets and 5 green buckets. If she plays until her money runs out, what is the most total points she can get for all three games?
Answer: She has 8 points from red buckets because 4 x 2 = 8. She has 15 points from green buckets because 5 x 3 = 15. She has spent $2 on games because 2 x 1 = 2. She has $1 left to spend because 3 - 2 = 1. She can play one more game because 1 / 1 = 1. The best bucket gives three points because 3 > 2. The most she can earn in the final game is 15 because 5 x 3 = 15. The most she can score overall is 38 because 8 + 15 + 15 = 38. The answer is 38.
[Question]Carlos has some gold quarters. If he spends them in a store, they are worth the regular amount. If he melts them down, he can get $100 per ounce. Each quarter weighs 1/5 of an ounce. How many times more money would he get from melting them down instead of spending them in a store?
[Answer]If he melts them down, five quarters equals $100 because 1 / (1 / 5) = 5. If he spends those five quarters they are worth $1.25 because 5 x .25 = 1.25. They are worth 80 times more melted down because 100 / 1.25 = 80. The answer is 80.
Q: Alexa and Emily open up a lemonade stand in the front yard. They spent $10 for lemons, $5 for sugar and $3 for cups. The lemonade is $4 a cup. They sell a total of 21 cups. How much profit did Alexa and Emily make after paying off expenses?
A: Alexa and Emily spend a total of $10 + $5 + $3 = $18. They make a total of $4 x 21 = $84. They make a profit of $84 - $18 = $66. The answer is 66.
Question: An aquarium holds an equal number of clownfish and blowfish. 26 of the blowfish stay in their own tank, and the remaining blowfish swim into a display tank. An equal number of clownfish join the blowfish in the display tank, but then a third of these clownfish swim back into their own tank. If the aquarium holds a combined total of 100 fish, how many clownfish are now in the display tank?
Answer:
There is an equal number of clownfish and blowfish, which means there are 100 fish / 2 = 50 blowfish. Since some stay in their tanks, there are 50 blowfish 26 blowfish = 24 blowfish in the display tank. There were the same amount of clownfish until 24 clownfish / 3 = 8 clownfish swam back to their own tank. This leaves 24 clownfish 8 clownfish = 16 clownfish in the display tank. The answer is 16.