Greg has the same number of 1-blocks, 10-blocks, and 100-blocks. He models an even number that is less than 400, what is the number?
Must be 222
the lmportance of listing
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 is modeling, we need to determine how many blocks he has in total.
Let's say Greg has x 1-blocks, x 10-blocks, and x 100-blocks.
The value of a 1-block is 1, so Greg has x * 1 = x blocks in total for the 1-blocks.
The value of a 10-block is 10, so Greg has x * 10 = 10x blocks in total for the 10-blocks.
The value of a 100-block is 100, so Greg has x * 100 = 100x blocks in total for the 100-blocks.
We want to find the total value of all the blocks Greg has, which is given by the sum of the 1-blocks, 10-blocks, and 100-blocks:
Total value = (x * 1) + (x * 10) + (x * 100)
Since Greg is modeling an even number, the total value must be divisible by 2.
So, (x * 1) + (x * 10) + (x * 100) should be divisible by 2.
Let's find the possible values of x that satisfy this condition:
x + 10x + 100x = (1 + 10 x + 100 x) = 111 x
To find the maximum value of x, we need to find the largest possible value for x such that 111 x is less than 400.
Let's divide 400 by 111 to find this value:
400 ÷ 111 = 3 remainder 67
So, the largest possible value for x is 3.
Now, we can find the total value:
Total value = (3 * 1) + (3 * 10) + (3 * 100)
= 3 + 30 + 300
= 333
Therefore, Greg is modeling the number 333.