Question

complete the ratio table.
5 3
35 21
65
45
80 48
submit

Explanation:

Step1: Find the ratio

First, check the ratio between the first column and the second column. For the first row, $\frac{5}{3}$. Let's verify with the second row: $\frac{35}{21}=\frac{5}{3}$ (dividing numerator and denominator by 7: $35\div7 = 5$, $21\div7 = 3$). Also, the last row: $\frac{80}{48}=\frac{5}{3}$ (dividing by 16: $80\div16 = 5$, $48\div16 = 3$). So the ratio of the first column to the second column is $\frac{5}{3}$, meaning first column = $\frac{5}{3}$×second column, or second column = $\frac{3}{5}$×first column.

Step2: Find the missing value in the third row (second column)

For the third row, first column is 65. So second column = $\frac{3}{5}×65$. Calculate $65÷5 = 13$, then $13×3 = 39$. So the second column for the third row is 39.

Step3: Find the missing value in the fourth row (first column)

For the fourth row, second column is 45. So first column = $\frac{5}{3}×45$. Calculate $45÷3 = 15$, then $15×5 = 75$. So the first column for the fourth row is 75.

Answer:

The third row (second column) is 39, and the fourth row (first column) is 75. So the completed table has 39 in the third row (second column) and 75 in the fourth row (first column).