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? $\newline$ Choose $1$ answer: $\newline$ (A) $27.2 \%$ $\newline$ (B) $\mathbf{2 7 . 8 \%}$ $\newline$ (C) $37.1 \%$ $\newline$ (D) $37.9 \%$

View step-by-step help

Home

Math Problems

Grade 7

Find the percent: tax, discount, and more

Full solution

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?

\newline

Choose

1

answer:

\newline

(A)

27.2 \%

\newline

(B)

\mathbf{2 7 . 8 \%}

\newline

(C)

37.1 \%

\newline

(D)

37.9 \%

Calculate West Region Percentage: question_prompt: What's the difference in percentage of densely vegetated land between the west and central regions of the US?
Calculate Central Region Percentage: Calculate the percentage of densely vegetated land in the west region. The total parts are $11$ (dense) + $18$ (sparse) = $29$ parts. The percentage is $(\frac{11}{29}) \times 100\%$ .
Find Percentage Difference: Do the math: $(\frac{11}{29}) \times 100\% = 37.93103448275862\%$ . Round it to one decimal place, we get $37.9\%$ .
Find Percentage Difference: Do the math: $(11/29) \times 100\% = 37.93103448275862\%$ . Round it to one decimal place, we get $37.9\%$ . Calculate the percentage of densely vegetated land in the central region. The total parts are $3$ (dense) + $1$ (sparse) = $4$ parts. The percentage is $(3/4) \times 100\%$ .
Find Percentage Difference: Do the math: $(11/29) \times 100\% = 37.93103448275862\%$ . Round it to one decimal place, we get $37.9\%$ . Calculate the percentage of densely vegetated land in the central region. The total parts are $3$ (dense) + $1$ (sparse) = $4$ parts. The percentage is $(3/4) \times 100\%$ . Do the math: $(3/4) \times 100\% = 75\%$ .
Find Percentage Difference: Do the math: $(11/29) \times 100\% = 37.93103448275862\%$ . Round it to one decimal place, we get $37.9\%$ . Calculate the percentage of densely vegetated land in the central region. The total parts are $3$ (dense) + $1$ (sparse) = $4$ parts. The percentage is $(3/4) \times 100\%$ . Do the math: $(3/4) \times 100\% = 75\%$ . Find the difference in percentage between the central and west regions: $75\% - 37.9\%$ .
Find Percentage Difference: Do the math: $(11/29) \times 100\% = 37.93103448275862\%$ . Round it to one decimal place, we get $37.9\%$ . Calculate the percentage of densely vegetated land in the central region. The total parts are $3$ (dense) + $1$ (sparse) = $4$ parts. The percentage is $(3/4) \times 100\%$ . Do the math: $(3/4) \times 100\% = 75\%$ . Find the difference in percentage between the central and west regions: $75\% - 37.9\%$ . Do the subtraction: $75\% - 37.9\% = 37.1\%$ .