The number of bags of sand needed to fill a sandbox is proportional to the pounds of sand that will fit in each sandbox. One sandbox needs 5 bags of sand for a total of 125 pounds of sand. Another requires 2 bags of sand for 50 pounds of sand. The third sandbox needs 12 bags of sand for a total of 300 pounds of sand.

Question

Which ratio table represents this situation?

Bags of Sand Pounds of Sand
2 50
5 125
12 300

Bags of Sand Pounds of Sand
50 2
125 5
300 12

Bags of Sand Pounds of Sand
5 50
2 125
12 300

Bags of Sand Pounds of Sand
50 2
5 125
12 300

Answer 1

To determine which ratio table represents the situation accurately, we can analyze the given relationships between bags of sand and pounds of sand.

From the problem, we know the following pairings:

1. 5 bags of sand for 125 pounds of sand.
2. 2 bags of sand for 50 pounds of sand.
3. 12 bags of sand for 300 pounds of sand.

Now we can write down the pairs in a table format:

| Bags of Sand | Pounds of Sand | |--------------|----------------| | 5 | 125 | | 2 | 50 | | 12 | 300 |

Let's now compare this with the provided options:

1. Option 1:
   Bags of Sand | Pounds of Sand
   2 | 50
   5 | 125
   12 | 300

   This matches our findings.

2. Option 2:
   Bags of Sand | Pounds of Sand
   50 | 2
   125 | 5
   300 | 12

   This does not match the original pairs.

3. Option 3:
   Bags of Sand | Pounds of Sand
   5 | 50
   2 | 125
   12 | 300

   This also does not match.

4. Option 4:
   Bags of Sand | Pounds of Sand
   50 | 2
   5 | 125
   12 | 300

   This does not match either.

The correct answer is Option 1:

Bags of Sand | Pounds of Sand
2 | 50
5 | 125
12 | 300

This option accurately represents the relationship given in the problem.