leanne put 6 counters into a bag she took out some counters from the bag but not all of them. what is the ratio of the number of counters taken out from the bag to the number of the counters left in the bag. make a list of all the possible ratios using the table below
5:1
4:2
3:3
2:4
1:5
i know this isn't related to the problem, but how do you put counters into a bag?!
To calculate the ratio of the number of counters taken out from the bag to the number of counters left in the bag, we can create a table to show all the possible combinations.
Number of Counters Taken Out (x) | Number of Counters Left (y) | Ratio (x:y)
------------------------------------------------------
1 | 5 | 1:5
2 | 4 | 2:4 (or 1:2)
3 | 3 | 3:3 (or 1:1)
4 | 2 | 4:2 (or 2:1)
5 | 1 | 5:1 (or 5:1)
So, the list of all possible ratios is:
1:5
1:2
1:1
2:1
5:1
To find the ratio of counters taken out from the bag to the counters left in the bag, we'll need to create a table. Let's start with the given information:
Number of counters originally in the bag: 6
Now, we'll determine the number of counters taken out from the bag and the number of counters left in the bag for different scenarios:
| Counters Taken Out | Counters Left |
|--------------------|---------------|
| 1 | 5 |
| 2 | 4 |
| 3 | 3 |
| 4 | 2 |
| 5 | 1 |
Using this information, we can list the ratios:
1:5
2:4 (which simplifies to 1:2)
3:3 (which simplifies to 1:1)
4:2 (which simplifies to 2:1)
5:1
Therefore, the list of all possible ratios of the number of counters taken out from the bag to the number of counters left in the bag are:
1:5, 1:2, 1:1, 2:1, 5:1