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?
(77 1/2) / (2 1/4) = (155/2) / (9/4) = 155/2 * 4/9 = 310/9 = 34 4/9
34 * 2.25 = _____
To find the number of full bags of mulch the store will make, we need to divide the total weight of mulch by the weight of each bag.
Total weight of mulch = 77.25 pounds
Weight of each bag = 21/4 = 5.25 pounds
Number of full bags of mulch = total weight of mulch / weight of each bag
= 77.25 / 5.25
= 14.7
Since we cannot have a fraction of a bag, the store can make a maximum of 14 full bags of mulch.
To find the total sales price of all of the bags of mulch, we need to multiply the number of full bags by the price per bag.
Number of full bags of mulch = 14
Price per bag = $2.25
Total sales price = Number of full bags * Price per bag
= 14 * $2.25
= $31.50
Therefore, the store will make 14 full bags of mulch and the total sales price of all of the bags of mulch is $31.50.
To find the number of full bags of mulch the store will make, we need to divide the total amount of mulch by the amount each bag can hold.
Step 1: Divide the total amount of mulch by the amount each bag can hold
77 ÷ 21/4
To divide by a fraction, we can multiply by its reciprocal.
77 ÷ 21/4 = 77 × 4/21
Step 2: Multiply the numerator and denominator
77 × 4 = 308
21 × 1 = 21
So, the store will make 308/21 full bags of mulch.
To find the total sales price of all the bags of mulch, we need to multiply the number of full bags by the price of one bag.
Step 1: Multiply the number of full bags by the price of one bag
(308/21) × $2.25
To multiply fractions, we can simply multiply the numerators together and the denominators together.
(308/21) × $2.25 = (308 × 2.25) / 21
Step 2: Multiply the numerators and the denominators
308 × 2.25 = 693
21 × 1 = 21
So, the total sales price of all the bags of mulch is $693.