Marlo uses 252 lb of gravel to cover a garden plot of 36 ft2. How many pounds of gravel does it take to cover one square foot? How large an area could be covered with 315 lb of gravel?

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chibuikeumeh chibuikeumeh · Answer 1 · 2021-10-20T10:33:25+02:00

The area and the amount of gravel are illustrations of proportions.

7 lb will cover an area of 1 square foot, while 315 lb will cover an area of 45 square feet.

The given parameters are:

[tex]252\ lb= 36ft^2[/tex]

The number of pound for an area of 1 square foot is calculated as follows:

[tex]x = 1ft^2[/tex]

So, we have:

[tex]x = 1ft^2[/tex]

[tex]252\ lb= 36ft^2[/tex]

Cross multiply

[tex]x \times 36 = 252 \times 1[/tex]

Divide both sides by 36

[tex]x = 7lb[/tex]

The area to be covered with 315lb gravel is calculated as follows:

[tex]315lb = y[/tex]

So, we have:

[tex]315lb = y[/tex]

[tex]252\ lb= 36ft^2[/tex]

Cross multiply

[tex]y \times 252 = 36 \times 315[/tex]

[tex]y \times 252 = 11340[/tex]

Divide both sides by 252

[tex]y = 45[/tex]

Hence, 7 lb will cover an area of 1 square foot, while 315 lb will cover an area of 45 square feet.