Question

A store buys 77 1/2 pounds of mulch in a large shipment. They divide the mulch up into bags that can each hold 2 1/4 pounds. The store sells one bag of mulch for $2.25. For each part of the question, show your work.

a. How many full bags of mulch will the store make?
b. Considering only the full bags, what is the total sales price of all the bags of mulch?

Answer 1

Answer: a. The store will make 34 full bags of mulch.

b. Considering only the full bags, the total sales price is $76.50

Explanation:

The total amount of mulch is
`77(1)/(2)` pounds or
`(155)/(2)` pounds.

Each bag can hold
`2(1)/(4)` pounds or
`(9)/(4)` pounds of mulch.

a. Suppose, the store will make
`x` number of bags of mulch.

So, the equation will be.........

`x*(9)/(4)=(155)/(2)\\ \\x=(155)/(2)*(4)/(9)=(310)/(9)=34.44... \approx 34`

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:
`(\$2.25*34)=\$76.50`