Question: Eliza buys 200 ornamental rings to sell in their local shop, twice the number of the remaining stock. After selling 3/4 of the total stock, her mother buys 300 more ornamental rings, and after three days, sells 150. What's the total number of ornamental rings remaining in the store?
Answer: If Eliza restocked twice the original number of ornamental rings, the number was 200 / 2 = 100 rings. The total number of ornamental rings in stock is now 200 + 100 = 300 rings. When she sells 3 / 4 of the stock, the total number of rings sold is 3 / 4 * 300 = 225 rings. The remaining stock is 300 - 225 = 75 rings. When her mother buys 300 more rings, the stock is boosted to 75 + 300 = 375 rings. She then sells out 150, reducing the stock to 375 - 150 = 225 rings. The answer is 225.
[Question]James decides to replace his car. He sold his $20,000 car for 80% of its value and then was able to haggle to buy a $30,000 sticker price car for 90% of its value. How much was he out of pocket?
[Answer]He sold his car for 20000 * .8 = $16,000. He bought the new car for 30,000 * .9 = $27,000. That means he was out of pocket 27,000 - 16,000 = $11,000. The answer is 11000.
Q: Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten?
A: In total, there are 4 x 4 = 16 pizza pieces. Bill and Dale eat 2 x 4 x 50% = 4 pieces. Ann and Cate eat 2 x 4 x 75% = 6 pieces. The four of them eat 4 + 6 = 10 pieces. There are 16 - 10 = 6 pizza pieces uneaten. The answer is 6.
Question: Axel bought an aquarium that was marked down 50% from an original price of $120. But he also paid additional sales tax equal to 5% of the reduced price. What was the total cost of the aquarium?
Answer: The aquarium was bought for $120 x 50 / 100 = $60 less. So the marked down price of the aquarium was $120 - $60 = $60. Axel paid $60 x 5 / 100 = $3 additional for the sales tax. Therefore, the total cost of the aquarium was $60 + $3 = $63. The answer is 63.
[Question]Emani has $30 more money than Howard. If Emani has $150, and they decide to combine and share the money equally, how much money does each get?
[Answer]If Emani has $150, Howard has $150 - $30 = $120. In total, they have $120 + $150 = $270. When they share this money equally, each gets $270 / 2 people = $135 / person. The answer is 135.
[Question]Nancy carves statues out of jade. A giraffe statue takes 120 grams of jade and sells for $150. An elephant statue takes twice as much jade and sells for $350. If Nancy has 1920 grams of jade, how much more money will she make turning it all into elephants instead of giraffes?
[Answer]
First find how many giraffe statues Nancy can make by dividing the total amount of jade by the amount used per giraffe statue: 1920 g / 120 g / giraffe = 16 giraffes. Then multiply that number by the price per giraffe to find how much Nancy earns total from giraffes: 16 giraffes * $150 / giraffe = $2400. Then find how much jade each elephant statue uses by doubling the jade used by the giraffe statues: 120 g / giraffe * 2 = 240 g / elephant. Then find how many elephant statues Nancy can make by dividing the total amount of jade by the amount used per elephant statue: 1920 g / 240 g / elephant = 8 elephant. Multiply that number by the price per elephant to find Nancy's total earnings from elephants: 8 elephants * $350 / elephant = $2800. Finally, subtract Nancy's total earnings from the giraffes from her total earnings from the elephants to find the difference: $2800 - $2400 = $400. The answer is 400.