Question

One 3.8 lb bag of fertilizer covers 1000 square feet each bag cost $9.95 the square feet of the yard is 1307.25 ft squared how many bags are needed to cover the garden?

Answer 1

He'll need approximately 2 bags of fertilizer to cover the whole yard.

Explanation:

In order to solve this problem, we can use a rule of three in a way that 3.8 lb of fertilizer is related to 1000 square feet in the same proportion as "x" lb of fertilizer is related to 1307.25 square feet. This is done below:

`(3.8)/(x) \text{ } \frac{\text{lb}}{\text{lb}} = (1000)/(1307.25) \text{ } \frac{\text{ft}^2}{\text{ft}^2}\\\\1000*x = 3.8*1307.25\\1000*x = 4967.55\\x = 4.96755`

Since each bag comes at a 3.8 lb package, then he'll need:

`bags = (4.97)/(3.8) = 1.3`

He'll need approximately 2 bags of fertilizer to cover the whole yard. Since he can't buy 0.3 bags, we rounded the number to next integer.