[Question]It takes 3 beehives to make enough wax to make 12 candles. How many hives does it take to make 96 candles?
[Answer]First find the number of candles produced per hive: 12 candles / 3 hives = 4 candles / hive. Then divide the total number of candles by the number of candles per hive to find the number of hives: 96 candles / 4 candles / hive = 24 hives. The answer is 24.
Q: 40% of a farmer's cattle are males. The rest are females. If a female cow produces 2 gallons of milk a day, how much milk will the farmer get a day if he has 50 male cows?
A: The farmer has 125 cows because 50 / .4 = 125. The farmer has 75 female cows because 125 x .6 = 75. The farmer will get 150 gallons of milk a day because 75 x 2 = 150. The answer is 150.
Question: Francine wants to know if a local chemical plant is releasing toxic waste that makes the frogs mutate. In one local pond, she catches 5 frogs with extra legs, 2 frogs with 2 heads, two frogs that are bright red, and 18 normal frogs. What percentage of the frogs have mutated, rounded to the nearest integer?
Answer: First add up the numbers of the three kinds of mutant frog: 5 frogs + 2 frogs + 2 frogs = 9 frogs. Then add that number to the number of normal frogs to find the total number of frogs: 9 frogs + 18 frogs = 27 frogs. Finally, divide the number of mutant frogs by the total number of frogs and multiply by 100% to find the percentage of frogs that are mutants: 9 frogs / 27 frogs * 100% = 33.333...%, which rounds to 33%. The answer is 33.
[Question]Allie has 9 toys, which are in total worth $52. If we know that one toy is worth $12, and all the other toys have the same value, how much does one of the other toys cost?
[Answer]Allie has 9 - 1 = 8 toys of the same value. Without the value of the one $12 toy, all 8 other toys are worth in total 52 - 12 = $40. That would mean, that one of the other toys is worth 40 / 8 = $5. The answer is 5.
Q: Mickey's number is greater than Jayden's number by exactly 20. If Jayden's number is 40 less than Coraline's number, and Coraline's number is 80, calculate the total of the numbers they have.
A: If Coraline has the number 80, Jayden, whose number is 40 less than that of Coraline, has 80 - 40 = 40. Together, Jayden and Coraline's numbers total 80 + 40 = 120. Mickey's number is greater than Jayden's number by exactly 20, meaning his number is 40 + 20 = 60. The total of the numbers the three have is 120 + 60 = 180. The answer is 180.
Question: Justin and Sabrina at Pine Grove Elementary have 50 pencils combined. Justin has 8 more than twice as many pencils as Sabrina. How many pencils does Sabrina have?
Answer:
Let's say Sabrina has p number of pencils. If Justin has 8 more than twice as many pencils as Sabrina, he has 2 * p + 8 = 2p + 8. Together, Justin and Sabrina has p + (2p + 8) = 50. This is equal to 3p = 50 - 8. 3p = 42. The number of pencils that Sabrina has is p = 42 / 3. Sabrina has p = 14 pencils. The answer is 14.