Use proportions to solve the following problem A 20 pound ba

Use proportions to solve the following problem. A 20 -pound bag of topsoil will cover a surface area of 12 ft squared . a) How many pounds of topsoil are needed to cover a surface area of 360 ft squared ? b) How many bags of topsoil must be purchased to cover a surface area of 360 ft squared ? a) The number of pounds of topsoil that are needed to cover a surface area of 360 ft squared is nothing pounds . (Type an integer or a decimal.) b) The number of 20 -pound bags of topsoil that are needed to cover a surface area of 360 ft squared is nothing bags. (Type an integer or a decimal.)

Solution

A 20 -pound bag of topsoil will cover a surface area of 12 ft squared

a) How many pounds of topsoil are needed to cover a surface area of 360 ft squared ?

Let x pound is required.

x/360 = 20/12 ; x = 600 pound

b) How many bags of topsoil must be purchased to cover a surface area of 360 ft squared ?

No. of bags = 600/20 = 30 bags

a) The number of pounds of topsoil that are needed to cover a surface area of 360 ft squared is nothing pounds . (Type an integer or a decimal.)

12/20 = 360/x

x = 360*20/12 = 300 pounds

b) The number of 20 -pound bags of topsoil that are needed to cover a surface area of 360 ft squared is nothing bags. (Type an integer or a decimal.)

No. of 20 pound bags = 300/20 = 15 bags