Use the tables to answer the question.
Sweet Sugar
Weight (lbs.) Price ($)
2.5 0.75
15.0 4.50
30.0 9.00
100.0 30.00
Super Sugar
Weight (lbs.) Price ($)
3.75 1.16
10.0 3.10
25.0 7.75
110.0 34.10
Based on the tables showing the price of buying different amounts of two brands of sugar, Suman determined that Sweet Sugar was the better buy based on price alone. How much money per pound will Suman save if he buys the Sweet Sugar brand?
To determine how much money per pound Suman will save by buying the Sweet Sugar brand, we need to compare the prices per pound for both brands.
For Sweet Sugar:
Price for 2.5 lbs = $0.75
Price per pound = $0.75 / 2.5 lbs = $0.3/lb
For Super Sugar:
Price for 3.75 lbs = $1.16
Price per pound = $1.16 / 3.75 lbs = $0.31/lb
Therefore, Suman will save $0.01 per pound if he buys the Sweet Sugar brand compared to the Super Sugar brand.
To determine the amount of money per pound Suman will save by buying the Sweet Sugar brand, we need to compare the price of Sweet Sugar with the price of Super Sugar per pound.
First, let's calculate the price per pound for both brands. We can do this by dividing the price by the weight for each brand.
For Sweet Sugar:
Price per pound = Price ($)/Weight (lbs.)
For example, for 2.5 pounds of Sweet Sugar, the price per pound would be:
Price per pound = 0.75/2.5 = 0.30
We can apply the same calculation for all the other weights of Sweet Sugar to find the respective price per pound.
For Super Sugar:
Price per pound = Price ($)/Weight (lbs.)
For example, for 3.75 pounds of Super Sugar, the price per pound would be:
Price per pound = 1.16/3.75 = 0.31
Again, repeat this calculation for each weight of Super Sugar.
Now, let's compare the price per pound for both brands. Find the price per pound for each weight of both brands using the above calculations. Once you have the price per pound for both brands, subtract the price per pound of Sweet Sugar from the price per pound of Super Sugar.
For example, if the price per pound of Sweet Sugar is 0.30 and the price per pound of Super Sugar is 0.31, then the savings per pound would be 0.31 - 0.30 = 0.01.
Repeat this calculation for each weight of both brands and sum up the savings per pound for all the weights of Sweet Sugar.
The total savings per pound will give you the answer to how much money per pound Suman will save if he buys the Sweet Sugar brand.
To determine how much money per pound Suman will save if he buys the Sweet Sugar brand instead of the Super Sugar brand, we need to compare the prices per pound for each brand.
For Sweet Sugar:
- The price for 2.5 lbs of Sweet Sugar is $0.75.
- The price for 15 lbs of Sweet Sugar is $4.50.
- The price for 30 lbs of Sweet Sugar is $9.00.
- The price for 100 lbs of Sweet Sugar is $30.00.
To calculate the price per pound of Sweet Sugar, we divide the total price by the weight:
- 2.5 lbs of Sweet Sugar: $0.75 / 2.5 = $0.30 per pound
- 15 lbs of Sweet Sugar: $4.50 / 15 = $0.30 per pound
- 30 lbs of Sweet Sugar: $9.00 / 30 = $0.30 per pound
- 100 lbs of Sweet Sugar: $30.00 / 100 = $0.30 per pound
For Super Sugar:
- The price for 3.75 lbs of Super Sugar is $1.16.
- The price for 10 lbs of Super Sugar is $3.10.
- The price for 25 lbs of Super Sugar is $7.75.
- The price for 110 lbs of Super Sugar is $34.10.
To calculate the price per pound of Super Sugar, we divide the total price by the weight:
- 3.75 lbs of Super Sugar: $1.16 / 3.75 = $0.31 per pound
- 10 lbs of Super Sugar: $3.10 / 10 = $0.31 per pound
- 25 lbs of Super Sugar: $7.75 / 25 = $0.31 per pound
- 110 lbs of Super Sugar: $34.10 / 110 = $0.31 per pound
Comparing the prices per pound, we can see that both Sweet Sugar and Super Sugar cost $0.31 per pound. Therefore, Suman will not save any money per pound if he buys the Sweet Sugar brand compared to the Super Sugar brand.