in the west region of the us, the ratio of densely vegetated land to sparsely vegetated land is $11:18$ in the central region of the us, the ratio is $3:1$ what is the difference in percentage of densely vegetated land from the west region to the central region?

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Q. in the west region of the us, the ratio of densely vegetated land to sparsely vegetated land is

11:18

in the central region of the us, the ratio is

3:1

what is the difference in percentage of densely vegetated land from the west region to the central region?

Calculate Ratio: To find the percentage of densely vegetated land in the West region, we need to calculate the part of the total that is densely vegetated. The ratio given is $11:18$ , which means for every $11$ parts of densely vegetated land, there are $18$ parts of sparsely vegetated land. $\newline$ Percentage of densely vegetated land in the West region = (Densely vegetated land / Total land) $\times 100$ $\newline$ Total land = Densely vegetated land + Sparsely vegetated land = $11 + 18 = 29$ parts $\newline$ Percentage of densely vegetated land in the West region = $(11 / 29) \times 100$
Calculate West Percentage: Now, let's calculate the actual percentage for the West region. Percentage of densely vegetated land in the West region = $(11 / 29) \times 100 \approx 37.93\%$
Calculate Central Percentage: Next, we calculate the percentage of densely vegetated land in the Central region. The ratio given is $3:1$ , which means for every $3$ parts of densely vegetated land, there is $1$ part of sparsely vegetated land. $\newline$ Percentage of densely vegetated land in the Central region = $\frac{\text{Densely vegetated land}}{\text{Total land}} \times 100$ $\newline$ Total land = Densely vegetated land + Sparsely vegetated land = $3 + 1 = 4$ parts $\newline$ Percentage of densely vegetated land in the Central region = $\frac{3}{4}$ $\times 100$
Find Percentage Difference: Now, let's calculate the actual percentage for the Central region. $\newline$ Percentage of densely vegetated land in the Central region = $(3 / 4) \times 100 = 75\%$
Calculate Actual Difference: Finally, we find the difference in percentage of densely vegetated land between the West and Central regions. $\newline$ Difference in percentage = Percentage in Central region - Percentage in West region $\newline$ Difference in percentage = $75\% - 37.93\%$
Calculate Actual Difference: Finally, we find the difference in percentage of densely vegetated land between the West and Central regions. $\newline$ Difference in percentage = Percentage in Central region - Percentage in West region $\newline$ Difference in percentage = $75\% - 37.93\%$ Now, let's calculate the actual difference in percentage. $\newline$ Difference in percentage = $75\% - 37.93\% \approx 37.07\%$