A 5 pound bag of peanuts is on sale for $9.30.itcis going to be divided into 3/4 pound bags.how much will it cost to fill one smaller bag?how many bags of peanuts will be remaining?
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5/0.75 = 6 2/3 bags = 6 full bags.
9.3 / 6 = $1.55
This makes no sense
To find out the cost of filling one smaller bag, we need to divide the total price of $9.30 by the number of smaller bags.
The number of smaller bags is obtained by dividing the weight of the 5-pound bag by the weight of each smaller bag.
Step 1: Find the cost of filling one smaller bag.
Cost of filling one smaller bag = Total price / Number of smaller bags
The total price is $9.30, and the number of smaller bags is obtained by dividing the weight of the 5-pound bag by the weight of each smaller bag.
Step 2: Find the number of smaller bags.
Number of smaller bags = Weight of the 5-pound bag / Weight of each smaller bag
Given that the weight of the 5-pound bag is 5 pounds, and each smaller bag weighs 3/4 pounds.
Substituting the values into the formulas:
Number of smaller bags = 5 pounds / (3/4 pounds)
Number of smaller bags = 5 / (3/4)
Number of smaller bags = 5 * (4/3)
Number of smaller bags = 20/3 = 6.67 (approximately)
Since you can't have a fraction of a bag, we round down to the nearest whole number.
Hence, there will be 6 smaller bags.
Now, let's calculate the cost of filling one smaller bag:
Cost of filling one smaller bag = $9.30 / 6 bags
Using long division, we can find:
1.550
__________
6 | 9.300
The result is 1.550 (approximately).
Therefore, it will cost approximately $1.55 to fill one smaller bag.
Now, let's calculate the number of bags of peanuts remaining:
Number of bags of peanuts remaining = Total weight / Weight of each smaller bag
Since the weight of the total 5-pound bag is 5 pounds, and each smaller bag weighs 3/4 pounds:
Number of bags of peanuts remaining = 5 pounds / (3/4 pounds)
Number of bags of peanuts remaining = 5 / (3/4)
Number of bags of peanuts remaining = 5 * (4/3)
Number of bags of peanuts remaining = 20/3 = 6.67 (approximately)
Again, since you can't have a fraction of a bag, we round down to the nearest whole number.
Hence, there will be 6 bags of peanuts remaining.
To find out how much it will cost to fill one smaller bag and how many bags of peanuts will be remaining, we can follow these steps:
Step 1: Determine the cost per pound of peanuts
To find the cost per pound, we divide the total cost of the 5-pound bag by its weight:
Cost per pound = Total cost / Weight of bag
Cost per pound = $9.30 / 5 pounds
Cost per pound = $1.86 per pound
Step 2: Determine the cost to fill one smaller bag
Since the 5-pound bag is being divided into 3/4 pound bags, we need to calculate the cost for 3/4 pound of peanuts:
Cost to fill one smaller bag = (3/4 pound) x (cost per pound)
Cost to fill one smaller bag = (3/4) x ($1.86)
Cost to fill one smaller bag = $1.395
Therefore, it will cost $1.395 to fill one smaller bag.
Step 3: Determine the number of bags remaining
To find the number of bags remaining, we divide the weight of the 5-pound bag by the weight of one smaller bag:
Number of bags remaining = Weight of 5-pound bag / Weight of one smaller bag
Number of bags remaining = 5 pounds / (3/4) pounds
We can simplify the division by multiplying the numerator by the reciprocal of the denominator:
Number of bags remaining = (5 pounds) x (4/3 pounds)
Number of bags remaining = 20/3 bags
Therefore, there will be 6 and 2/3 bags of peanuts remaining.