Question: Alina and her best friend Lucia like to chat a lot. On a particular day, Alina sent 20 fewer messages than her friend Lucia, who sent 120 messages. The next day, Lucia sent 1/3 of the messages she sent the previous day, while Alina doubled the messages she sent on the first day. If they sent the same number of messages on the third day as the first day, what is the total number of messages they sent in those three days?
Answer: Step-by-step reasoning process: On the first day, Alina sent 120 - 20 = 100 messages. The total number for the first day is 100 + 120 = 220 messages. On the second day, Lucia sent 1 / 3 * 120 = 40 messages. Alina sent 100 * 2 = 200 messages on the second day. The total for the second day is 40 + 200 = 240 messages. For the three days, they sent 220 + 220 + 240 = 680 messages.
So the answer is 680.

Question: A family went out to see a movie. The regular ticket costs $9 and the ticket for children is $2 less. They gave the cashier two $20 bills and they received a $1 change. How many children are there if there are 2 adults in the family?
Answer: Step-by-step reasoning process: They gave the cashier $20 x 2 = $40. Since a $1 change was returned, this means the tickets cost $40 - $1 = $39. Two adult tickets cost $9 x 2 = $18. So, $39 - $18 = $21 was spent for the children's tickets. Each child's ticket costs $9 - $2 = $7. Therefore, there are $21 / $7 = 3 children.
So the answer is 3.

Question: There are 360 balls in the ball pit. If a quarter of the balls in the ball pit are red and a fifth of the remaining balls are blue. How many of the balls are neither red nor blue?
Answer: Step-by-step reasoning process: A quarter of the balls are red and therefore there are 360 x (1 / 4) = 90 red balls. When you remove the red balls from the ball pit there are 360 - 90 = 270 remaining balls. A fifth of the remaining balls are blue, and therefore there are 270 x (1 / 5) = 54 blue balls. The total of red and blue balls equals 90 + 54 = 144 balls. When you remove the red and blue balls from the total there are 360 - 144 = 216 balls that are neither red nor blue.
So the answer is 216.

Question: A group of 6 students organized a fundraiser to go to Nicaragua for the summer. For them to go on the trip, each of them needs at least $450. On top of that, they need $3000 for their miscellaneous collective expenses. On the first day of their fundraiser, they receive $600. On the second day, they receive $900, and on the third day, they receive $400. For the next 4 days, they receive only half of what they raised on the first 3 days. How much more money does each person need to raise for them to reach their goal?
Answer:
Step-by-step reasoning process: All together, they need to raise ($450 x 6) + $3000 = $5700. The raised $600 + $900 + $400 = $1900 the first 3 days. For the next 4 days, they only raised $1900 / 2 = $950. In the week, they raised $1900 + $950 = $2850. They still need $5700 - $2850 = $2850. Each person still needs $2850 / 6 = $475.
So the answer is 475.