Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
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.
How many full bags of mulch will the store make?
Considering only the full bags, what is the total sales price of all of the bags of mulch?
I got 34 for the first question and $76.50 for the last question, I just want to make sure I am right
also for the test, you have to do it on your own they mixed up all the questions so no one has the right answers
nvm i got it right
To determine the number of full bags of mulch the store will make, we need to divide the total weight of the mulch by the weight of each bag.
Step 1: Convert the mixed number into an improper fraction:
77 1/2 = (77 x 2) + 1 / 2 = 154/2 + 1/2 = 155/2
Step 2: Divide the total weight of mulch by the weight of each bag:
155/2 ÷ 2 1/4 = (155/2) ÷ (9/4)
Step 3: Invert and multiply:
(155/2) ÷ (9/4) = (155/2) * (4/9) = (155 * 4) / (2 * 9) = 620/18
Step 4: Simplify the fraction:
620/18 = 34 2/18 = 34 1/9
Therefore, the store will make 34 full bags of mulch.
Now let's calculate the total sales price of all the bags of mulch using the number of full bags obtained in the previous step.
Step 5: Multiply the number of full bags by the price per bag:
34 * $2.25 = $76.50
Hence, the correct answer is 34 full bags of mulch and a total sales price of $76.50.