A 2.4-kg bag of grass seed covers an area of 1200 m^2. What area will 1 kg of grass seed cover?
1 point
since the area:seed ratio is the same,
x/1 = 1200/2.4
To find the area that 1 kg of grass seed will cover, we can use the concept of proportions.
First, we need to determine the number of kilograms of grass seed needed to cover 1 m^2 of area. We can set up a proportion using the given information:
(2.4 kg) / (1200 m^2) = (1 kg) / (x m^2)
Cross multiplying, we get:
(2.4 kg) * (x m^2) = (1200 m^2) * (1 kg)
Simplifying, we find:
2.4x = 1200
To solve for x, divide both sides of the equation by 2.4:
x = 1200 / 2.4
Calculating this value, we find:
x = 500
Therefore, 1 kg of grass seed will cover an area of 500 m^2.