If Greg has the same number of 1-blocks 10-blocks and 100-blocks to model an even number that is less than 400 what is the number?
To find the number that Greg has, we need to consider the conditions mentioned in the question:
1. Greg has the same number of 1-blocks, 10-blocks, and 100-blocks.
2. The number should be even.
3. The number should be less than 400.
Let's break down the problem step by step:
1. Greg has the same number of 1-blocks, 10-blocks, and 100-blocks. This means that the number he models can be represented as 1x + 10x + 100x, where x is the number of blocks for each type.
2. The number should be even. An even number always ends with 0, 2, 4, 6, or 8. In this case, since he only has 1-blocks, 10-blocks, and 100-blocks, the number of 1-blocks should be even.
3. The number should be less than 400. We need to find the maximum number of blocks that Greg can have without exceeding 400.
Let's analyze the possible scenarios:
If Greg has only one block of each type (x = 1), then the largest number he can model is 1x + 10x + 100x = 1 + 10 + 100 = 111, which is less than 400.
If Greg has two blocks of each type (x = 2), then the largest number he can model is 1x + 10x + 100x = 2 + 20 + 200 = 222, which is less than 400.
If Greg has three blocks of each type (x = 3), then the largest number he can model is 1x + 10x + 100x = 3 + 30 + 300 = 333, which is less than 400.
If Greg has four blocks of each type (x = 4), then the largest number he can model is 1x + 10x + 100x = 4 + 40 + 400 = 444, which exceeds 400.
Therefore, based on the given conditions, the number that Greg can model that is less than 400 is 333.