Question

The area of a certain desert (Desert 1) is nine times the area

of another desect (Derect 2). If the sum of theic areas 13

10,000,000 square miles, find the area of each desert

Answer 1

100/51

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Step-by-step explanation

Answer 2

∴ Area of Desert 1 = 9,000,000 square miles

Area of Desert 2 = 1,000,000 square miles

Explanation:

let the area of Desert 1 = x

Let the area of desert 2 = y

Given:

x = 9y - - - - - - (1)

x + y = 10,000,000 - - - - -(2)

Replacing the value of x from equation 1 into equation 2:

x + y = 10,000,000

where x = 9y

9y + y = 10,000,000

10y = 10,000,000

y = 10,000,000 ÷ 10

y = 1,000,000 square mile

Next, finding x by putting the value of y into equation 1

x = 9y

where y = 1,000,000

∴ x = 9 × 1,000,000

x = 9,000,000 square miles

∴ Area of Desert 1 (x) = 9,000,000 square miles

Area of Desert 2 (y) = 1,000,000 square miles