[Question]Tina's classroom has the same amount of students as Maura's. Zack's classroom has half the amount of total students between Tina and Maura's classrooms. How many students are there in total between the 3 classrooms if when Zack was sick there were 22 students in his class?
[Answer]If Zack's classroom had 22 students when he was absent, then the total students in his class are 22 + 1 = 23. If Tina's classroom has as many students as Maura's then T = M. If Zack's classroom has half the amount of total students between Tina and Maura's classrooms then 23 = 1 / 2 * (T + M ). 23 = 1 / 2 * (T + M). We know from above that T = M, therefore 23 = (1 / 2) * (M + M) or 23 = (1 / 2) * 2M. 23 = M. Because T = M, then T is also T = 23. Between the three classes then we have a total of T + M + Z or 23 + 23 + 23 = 69. The answer is 69.
Q: Annie is building a diorama for her history class. The amount of time she spent building it is equal to three times the amount of time she spent planning it minus 5 minutes. If she spent 67 minutes on the diorama total, how many minutes did she spend building it?
A: Let p be the planning time in minutes and b be the building time. We know that b = 3p - 5 and b + p = 67. Substituting the first equation into the second equation, we get 3p - 5 + p = 67. Combining like terms, we get 4p - 5 = 67. Adding 5 to both sides, we get 4p = 72. Dividing both sides by 4, we get p = 18. Substituting this value into b = 3p - 5, we find that b = 3 * 18 - 5 = 49. The answer is 49.
Question: Emmalyn decided to paint fences in her neighborhood for twenty cents per meter. If there were 50 fences in the neighborhood that she had to paint and each fence was 500 meters long, calculate the total amount she earned from painting the fences.
Answer: The total length for the fifty fences is 50 * 500 = 25000 meters. If Emmalyn charged twenty cents to paint a meter of a fence, the total income she got from painting the fences is $0.20 * 25000 = $5000. The answer is 5000.
[Question]John decides to replace all his VHS with DVDs. He can trade in his VHS for $2 each and then buy the DVDs for $10 each. If he has 100 movies, how much does it cost to replace his movies?
[Answer]It cost 10 - 2 = $8 to replace each movie. So it would cost 8 * 100 = $800 to replace everything. The answer is 800.
Q: Haleigh decides that instead of throwing away old candles, she can use the last bit of wax combined together to make new candles. Each candle has 10% of it's original wax left. How many 5 ounce candles can she make if she has five 20 oz candles, 5 five ounce candles, and twenty-five one ounce candles?
A: She gets 2 ounces of wax from a 20 ounce candle because 20 x .1 = 2. She gets 10 ounces total from these candles because 5 x 2 = 10. She gets .5 ounces of wax from each five ounce candle because 5 x .1 = .5. She gets 1.5 ounces total from these candles because 5 x .5 = 2.5. She gets .1 ounces from each one ounce candle because 1 x .1 = .1. She gets 2.5 ounces from these candles because 25 x .1 = 2.5. She gets 15 ounces total because 10 + 2.5 + 2.5 = 15. She can make 3 candles because 15 / 5 = 3. The answer is 3.
Question: Each turtle lays a clutch of 20 eggs. If 40% of the eggs successfully hatch, how many hatchlings do 6 turtles produce?
Answer:
First find the number of eggs that each turtle successfully hatches: 20 eggs * 40% = 8 eggs. Then multiply the number of eggs per turtle by the number of turtles to find the total number of eggs: 8 eggs / turtle * 6 turtles = 48 turtles. The answer is 48.