[Question]: Lorenzo put three full cans of thumbtacks into his pocket and went off to work at the corkboard factory. It was Lorenzo's job, as head of quality control, to test every cork board for its ability to hold thumbtacks. He placed one thumbtack from each of the three cans of thumbtacks into every board tested. At the end of the day, he had tested 120 boards and had 30 tacks remaining in each of the three cans. What was the total combined number of thumbtacks from the three full cans?
[Answer]: At the end of the day, he had tested 120 boards, each with three tacks, for a total of 3 * 120 = 360 tacks. He had 30 tacks remaining in each of the three cans, for an additional 3 * 30 = 90 thumbs tacks. Therefore, the original total combined number of thumbtacks in the three full cans of thumbtacks was 360 + 90 = 450 thumbtacks.
So the answer is 450.

[Question]: The spacecraft Gibraltar is a mountain-sized intergalactic vehicle for transporting equipment, building materials, and families to establish colonies on far-away planets. At full capacity, the vehicle can carry 300 family units with four people per family. The space flight is expected to take years, and it is expected that the size of families will grow during the space voyage. Therefore, when the spacecraft leaves the earth, it will carry 100 people less than one-third of the ship's capacity. How many people will be on the ship to start the journey?
[Answer]: The full capacity of the ship is 300 * 4 = 1200 people. One - third of capacity is 1200 / 3 = 400 people. 100 less than one - third capacity is 400 - 100 = 300 people.
So the answer is 300.

[Question]: A choir splits into 3 groups for their performances. The first group has 25 members, and the second group has 30 members. The third group has the remaining members of the choir. If the choir overall has 70 members, how many members are in the third group?
[Answer]:
There are 25 + 30 members = 55 members in the first two groups. This means the third group has 70 total members 55 members in the first two groups = 15 members.
So the answer is 15.