Question

trini needs more than 51 cubic feet of soil to fill her raised garden. each bag of soil contains 15 cubic feet. determine how many bags of soil trini needs. then interpret the solution. (example 1)

Explanation:

Step1: Define variables and inequality

Let $x$ = number of soil bags.
Trini needs more than 51 cubic feet, so:
$$1.5x > 51$$

Step2: Solve for x

Divide both sides by 1.5:
$$x > \frac{51}{1.5}$$
$$x > 34$$

Step3: Interpret the solution

Since partial bags are not sold, Trini must buy whole bags. She needs more than 34 bags, so the smallest whole number of bags is 35.

Answer:

Trini needs to buy at least 35 bags of soil. This means 35 or more bags will provide over 51 cubic feet of soil to fill her raised garden, as 34 bags would only give exactly 51 cubic feet (which does not meet the "more than 51" requirement).