Which of the following is true about the values in the highlighted columns?

A.
The ratio of the values in the left column to the values in the right column is 5:2. If another row is added to the multiplication chart, the last value in the left column would be 55 and the last value in the right column would be 22.
B.
The ratio of the values in the left column to the values in the right column is 2:5. If another row is added to the multiplication chart, the last value in the left column would be 22 and the last value in the right column would be 55.
C.
The ratio of the values in the left column to the values in the right column is 5:2. If another row is added to the multiplication chart, the last value in the left column would be 22 and the last value in the right column would be 55.
D.
The ratio of the values in the left column to the values in the right column is 2:5. If another row is added to the multiplication chart, the last value in the left column would be 55 and the last value in the right column would be 22.

1 answer

To determine which statement is true, we need to understand the relationships between the values in the left and right columns regarding their ratios, as well as the values they will take if another row is added.

  1. Understanding Ratios:

    • The ratio 5:2 means for every 5 units in the left column, there are 2 units in the right column.
    • Conversely, the ratio 2:5 means for every 2 units in the left column, there are 5 units in the right column.
  2. Implications of Rows:

    • If the last value in the left column is 55 and the last value in the right column is 22, then the ratio is 55:22, which simplifies to 5:2 (since 55/22 = 5/2).
    • If the last value in the left column is 22 and the last value in the right column is 55, then the ratio is 22:55, which simplifies to 2:5 (since 22/55 = 2/5).

Now let's analyze each option:

A. Left column to right column is 5:2, and adding a row would give 55 (left) and 22 (right).

  • This is true.

B. Left column to right column is 2:5, and adding a row would give 22 (left) and 55 (right).

  • This is false.

C. Left column to right column is 5:2, and adding a row would give 22 (left) and 55 (right).

  • This is false.

D. Left column to right column is 2:5, and adding a row would give 55 (left) and 22 (right).

  • This is false.

Thus, the only true statement is A. The left column to right column is 5:2, and adding a row would indeed yield 55 in the left column and 22 in the right column.