Question

1. a gardener wants to buy enough mulch to cover a rectangular garden that is 3 feet by 20 feet. one bag contains 2 cubic feet of mulch and costs $3.66. how much will the minimum number of bags cost to cover the garden with much 3 inches deep?

Explanation:

Step1: Convert depth to feet

Since 1 foot = 12 inches, 3 inches = $\frac{3}{12}=\frac{1}{4}$ foot.

Step2: Calculate volume of garden

The volume $V$ of a rectangular - shaped area for mulching is given by $V = l\times w\times h$, where $l = 30$ feet, $w = 3$ feet and $h=\frac{1}{4}$ foot. So $V=30\times3\times\frac{1}{4}=\frac{90}{4} = 22.5$ cubic feet.

Step3: Calculate number of bags

Each bag contains 2 cubic feet of mulch. The number of bags $n=\frac{V}{2}=\frac{22.5}{2}=11.25$. Since we can't buy a fraction of a bag, we need to round up to 12 bags.

Answer:

12 bags