A bird is building a nest from twigs. The bird has put twelve twigs together already to make a circle. For each twig it placed into the circle, it wants to weave in six more twigs to fill out the nest. It knows a tree that has dropped a third of the twigs it needs. How many twigs will the bird still need to find to finish its nest? Give the rationale and then the answer.
Let's think step by step. The bird wants 12 * 6 = 72 twigs to add to the nest. It knows a tree that has dropped 72 * 1 / 3 = 24 twigs. Thus, the bird will still need 72 - 24 = 48 twigs to finish the nest.. The answer is: 48.

In 6 months Bella and Bob will be celebrating their 4th anniversary. How many months ago did they celebrate their 2nd anniversary? Give the rationale and then the answer.
Let's think step by step. First, we find their current point in time be realizing that 4 years is 4 sets of 12 months, meaning at that anniversary they will have been together 4 * 12 = 48 months. Then, we subtract their 6 month difference, finding they are at 48 - 6 = 42 months into their relationship. Since 2 years would be 2 * 12 = 24 months into the relationship. We take the larger number, 42, and subtract the smaller number, 24 to find the difference in months, meaning it is 42 - 24 = 18 months.. The answer is: 18.

For the funfair, the school organizers ordered 30 rolls of tickets. Each roll of tickets has 100 tickets. The 4th graders bought 30% of the tickets while the 5th graders bought 50% of the remaining tickets. Then the 6th graders bought a total of 100 tickets. How many tickets were left unsold? Give the rationale and then the answer.
Let's think step by step. There were a total of 30 x 100 = 3000 tickets ordered by the school organizers. The 4th graders bought 3000 x 30 / 100 = 900 tickets. So, there were 3000 - 900 = 2100 tickets left for the other two grade levels. The 5th graders bought 2100 x 50 / 100 = 1050 tickets. So, 2100 - 1050 = 1050 tickets were left then. Since 100 tickets were bought by the 6th graders, therefore 1050 - 100 = 950 tickets were left unsold.. The answer is: 950.