Q: 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?
A: 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. The answer is 680.
Question: Mr. Curtis has 325 chickens on his farm where 28 are roosters and the rest are hens. Twenty hens do not lay eggs while the rest of the hens do. How many egg-laying hens does Mr. Curtis have on his farm?
Answer: Mr. Curtis has 325 - 28 = 297 hens. Out of the 297 hens, only 297 - 20 = 277 hens lay eggs. The answer is 277.
[Question]James injured his ankle and decides to slowly start working back up to his previous running goals and then surpass them. Before the injury, he was able to run 100 miles per week. He wants to get up to 20% more than that total in 280 days and each week he will increase miles walked in the week by the same amount. How many miles does he need to add per week?
[Answer]He wants to run 100 * .2 = 20 miles more than he used to. So he needs to run 100 + 20 = 120 miles. He is doing this in 280 / 7 = 40 weeks. So he needs to add 120 / 40 = 3 miles per week. The answer is 3.
Q: John drinks 1.5 gallons of water a day. How many quarts does he drink a week?
A: He drinks 1.5 * 4 = 6 quarts a day. That means he drinks 6 * 7 = 42 quarts a week. The answer is 42.
Question: Judy uses 10 pencils during her 5 day school week. A 30 pack of pencils costs $4. How much will she spend on pencils over 45 days?
Answer: She uses 2 pencils a day because 10 / 5 = 2. She will use 90 pencils in 45 days because 2 x 45 = 90. She will need 3 packs of pencils because 90 / 30 = 3. She will spend $12 because 3 x 4 = 12. The answer is 12.
Q: Julian has 80 Facebook friends. 60% are boys and 40% are girls. Boyd has twice as many friends who are girls and has 100 friends total. What percentage of Boyd’s friends are boys?
A:
Julian's number of friends who are girls is .40 * 80 = 32. Boyd has twice as many friends as Julian who are girls, a total of 2 * 32 = 64. If Boyd has 100 friends, he has 100 - 64 = 36 boys. The percentage of boys in Boyd's Facebook friends is 36 / 100 * 100 = 36. The answer is 36.