[Question]The balance of Pam's bank account tripled during the year. At the end of the year, Pam withdrew $250. If her current balance is $950, how much did she have in the bank account at the beginning of the year?
[Answer]First, we have to come up with the balance before her withdrawal. $950 (current) + $250 (withdraw) = $1200. Now since we know that is triple, we divide by 3. $1200 / 3 = $400. The answer is 400.
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: Bart fills out surveys to earn money. He receives $0.2 for every question he answers in the survey. Each survey has 10 questions. On Monday he finished 3 surveys, and on Tuesday 4 surveys. How much money did he earn during these two days?
Answer: On Monday and Tuesday Bart finished 3 + 4 = 7 surveys. Each survey has 10 questions, so he answered 10 * 7 = 70 questions. Bart gets paid $0.2 for each questions, so he earned 70 * $0.2 = $14. The answer is 14.
[Question]Robie bought 3 bags of chocolates. She gave the 2 bags to her brothers and sisters then bought another 3 bags. How many bags of chocolates were left?
[Answer]She was left with 3 - 2 = 1 bag of chocolate after she gave 2 bags to her brother and sisters. Therefore, the total number of bags of chocolates left after buying another 3 is 1 + 3 = 4. The answer is 4.
Q: Regina has a farm with animals. She has 20 cows and four times more pigs. Someone told her, that she could sell all the animals and earn $400 for each pig and $800 for each cow. How much money would she earn if she would sell all the animals from the farm?
A: Regina has 4 pigs / cow * 20 cows = 80 pigs. She could sell the pigs for 80 pigs * $400 / pig = $32000. For the cows Regina would get 20 cows * $800 / cow = $16000. In total Regina would earn $16000 + $32000 = $48000. The answer is 48000.
Question: Dolly wants to ride the Ferris wheel twice, the roller coaster three times, and the log ride seven times. The Ferris wheel costs 2 tickets, the roller coaster costs 5 tickets and the log ride costs 1 ticket. Dolly has 20 tickets. How many more tickets should Dolly buy?
Answer:
It costs 2 rides x 2 tickets / ride = 4 tickets to ride the Ferris wheel twice. It costs 3 rides x 5 tickets / ride = 15 tickets to ride the roller coaster three times. It costs 7 rides x 1 ticket / ride = 7 tickets to ride the roller coaster seven times. In total Dolly needs 4 tickets + 15 tickets + 7 tickets = 26 tickets. Dolly needs to buy 26 tickets - 20 tickets = 6 more tickets. The answer is 6.