Q: Gary has 30 grams of gold that cost $15 per gram. Anna has 50 grams of gold for the cost of $20 per gram. How much is the cost of their gold combined?
A: The cost of Gary’s gold is 30 * $15 = $450. The cost of Anna’s gold is 50 * $20 = $1000. The total cost of their gold is $450 + $1000 = $1450. The answer is 1450.
Question: Jason's dog has a tail that's half the length of its body, and a head that's 1/6 the length of its body. If the dog is 30 inches long overall, how long is its tail?
Answer: If b is the length of the body, h is the length of the head, and t is the length of the tail, we know that b + h + t = 30, h = b / 6 and t = b / 2. We can substitute the second two equations into the first equation to get b + b / 6 + b / 2 = 30. Now multiply both sides of this equation by 6: 6b + b + 3b = 180. Now combine like terms: 10b = 180. Now divide both sides by 10: b = 180. The dog's body is 18 inches long. Now divide that length by 2 to find the length of its tail: 18 inches / 2 = 9 inches. The answer is 9.
[Question]A candy store sold 20 pounds of fudge for $2.50/pound, 5 dozen chocolate truffles for $1.50 each and 3 dozen chocolate-covered pretzels at $2.00 each. How much money did the candy store make?
[Answer]20 pounds of fudge at $2.50 / pounds is 20 * 2.50 = $50.00. The 5 dozen truffles were sold in individual units so a dozen is equal to 12 so 5 * 12 = 60. 60 chocolate truffles, at $1.50 each sold for 60 * 1.50 = $90.00. The 3 dozen chocolate pretzels sold in individual units so a dozen is equal to 12 so 3 * 12 = 36. 36 chocolate pretzels sold for $2.00 each sold for 36 * 2 = $72.00. All total, the store made 50 + 90 + 72 = $212.00 from candy sales. The answer is 212.
Q: A radio show plays for 3 hours a day. They split their show into talking segments, ad breaks and songs. Talking segments last 10 minutes each, ad breaks last 5 minutes each and songs are played throughout the rest of the show. If the radio show includes 3 talking segments and 5 ad breaks in today’s show, how long, in minutes, does the show play songs?
A: The entire radio show plays for 3 hours * 60 minutes = 180 minutes. The talking segments use 3 talking segments * 10 minutes per talking segment = 30 minutes each. The ad breaks use 5 ad breaks * 5 minutes per ad break = 25 minutes. In total, the talking segments and ad breaks use 30 + 25 = 55 minutes. This leaves 180 – 55 = 125 minutes for the radio show to play songs. The answer is 125.
Question: Sam spends sixty minutes studying Science, eighty minutes in Math, and forty minutes in Literature. How many hours does Sam spend studying the three subjects?
Answer: The total number of minutes he studies the three subjects is 60 + 80 + 40 = 180 minutes. Therefore, Sam spends 180 / 60 = 3 hours. The answer is 3.
Q: The Science museum sells dinosaur models for $100 each. A certain school bought 2 models for the kindergarten library and also bought twice as many for the elementary library. Since the school bought more than 5 models, there was a 5% reduction in price for each model. How much did the school pay in all?
A:
The school bought 2 x 2 = 4 dinosaur models for the elementary library. So the school bought a total of 2 + 4 = 6 models. The price of each model was reduced by $100 x 5 / 100 = $5. Thus, each model cost $100 - $5 = $95. Therefore, the school paid a total of $95 x 6 = $570. The answer is 570.