Bobby has 230 marbles to put in jars. He wants the jars to hold either 100 marbles or 10 marbles. Which is a way he can arrange the marbles?
He could have 2 jars with 100 marbles each plus 3 jars with 10 marbles each.
To determine the possible ways Bobby can arrange the marbles, we need to consider the fact that he wants the jars to hold either 100 marbles or 10 marbles. Let's break it down step by step:
1. Start with the larger jar size of 100 marbles. Calculate how many jars of 100 marbles Bobby can fill:
- Divide the total number of marbles (230) by the jar size (100).
- 230 divided by 100 equals 2 with a remainder of 30. This means Bobby can fill 2 jars of 100 marbles.
2. Next, consider the smaller jar size of 10 marbles. Calculate how many jars of 10 marbles Bobby can fill:
- Divide the remaining number of marbles (30) by the jar size (10).
- 30 divided by 10 equals 3. This means Bobby can fill 3 jars of 10 marbles.
3. At this point, Bobby has used 2 jars of 100 marbles and 3 jars of 10 marbles. Now, let's check if there are any remaining marbles.
- Subtract the total number of marbles in the filled jars from the initial total (230 - 2 * 100 - 3 * 10).
- 230 - 200 - 30 equals 230 - 230 equals 0. There are no remaining marbles.
So, one possible way Bobby can arrange the marbles is to fill 2 jars with 100 marbles each and 3 jars with 10 marbles each.