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in the west region of the US, the ratio of densely vegetated land to sparsely vegetated land is 11:1811:18, in the central region of the US, the ratio is 3:133:13. What is the difference in percentage of densely vegetated land from the west region to the central region?

Full solution

Q. in the west region of the US, the ratio of densely vegetated land to sparsely vegetated land is 11:1811:18, in the central region of the US, the ratio is 3:133:13. What is the difference in percentage of densely vegetated land from the west region to the central region?
  1. Calculate total parts west region: Calculate the total parts for the west region: 1111 (densely vegetated) + 1818 (sparsely vegetated) = 2929 parts.
  2. Find percentage densely vegetated west region: Find the percentage of densely vegetated land in the west region: (1129)×100%(\frac{11}{29}) \times 100\%.
  3. Perform calculation west region: Perform the calculation for the west region: (1129)×100%37.93%(\frac{11}{29}) \times 100\% \approx 37.93\%.
  4. Calculate total parts central region: Calculate the total parts for the central region: 33 (densely vegetated) + 1313 (sparsely vegetated) = 1616 parts.
  5. Find percentage densely vegetated central region: Find the percentage of densely vegetated land in the central region: (316)×100%(\frac{3}{16}) \times 100\%.
  6. Perform calculation central region: Perform the calculation for the central region: (316)×100%=18.75%(\frac{3}{16}) \times 100\% = 18.75\%.
  7. Calculate difference percentage west central regions: Calculate the difference in percentage between the west and central regions: 37.93%18.75%37.93\% - 18.75\%.
  8. Perform subtraction find difference: Perform the subtraction to find the difference: 37.93%18.75%=19.18%37.93\% - 18.75\% = 19.18\%.