Answer: a. The store will make 34 full bags of mulch.
b. Considering only the full bags, the total sales price is $76.50
Step-by-step explanation:
The total amount of mulch is [tex]77\frac{1}{2}[/tex] pounds or [tex]\frac{155}{2}[/tex] pounds.
Each bag can hold [tex]2\frac{1}{4}[/tex] pounds or [tex]\frac{9}{4}[/tex] pounds of mulch.
a. Suppose, the store will make [tex]x[/tex] number of bags of mulch.
So, the equation will be.........
[tex]x*\frac{9}{4}=\frac{155}{2}\\ \\x=\frac{155}{2}*\frac{4}{9}=\frac{310}{9}=34.44... \approx 34[/tex]
So, the store will make 34 full bags of mulch.
b. The store sells one bag of mulch for $2.25
So, the total sales price of 34 full bags of mulch will be: [tex](\$2.25*34)=\$76.50[/tex]