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?
(1 point)
Suman will save $ per pound if he buys the Sweet Sugar brand.
To find out how much money per pound Suman will save if he buys the Sweet Sugar brand, we can compare the prices of the two brands for the same weight. Let's compare the price for 10 pounds of each brand:
Sweet Sugar: $4.50 for 15 pounds ($4.50 / 15 pounds = $0.30/pound)
Super Sugar: $3.10 for 10 pounds ($3.10 / 10 pounds = $0.31/pound)
Therefore, Suman will save $0.01 per pound if he buys the Sweet Sugar brand.
To determine how much money per pound Suman will save if he buys the Sweet Sugar brand, we need to compare the prices per pound for both brands.
For Sweet Sugar:
Price per pound = Total price / Weight
For 2.5 lbs: Price per pound = $0.75 / 2.5 = $0.30
For 15 lbs: Price per pound = $4.50 / 15 = $0.30
For 30 lbs: Price per pound = $9.00 / 30 = $0.30
For 100 lbs: Price per pound = $30.00 / 100 = $0.30
Therefore, the price per pound for Sweet Sugar is $0.30.
For Super Sugar:
Price per pound = Total price / Weight
For 3.75 lbs: Price per pound = $1.16 / 3.75 = $0.31
For 10 lbs: Price per pound = $3.10 / 10 = $0.31
For 25 lbs: Price per pound = $7.75 / 25 = $0.31
For 110 lbs: Price per pound = $34.10 / 110 = $0.31
Therefore, the price per pound for Super Sugar is $0.31.
To calculate the savings per pound, we subtract the price per pound of Sweet Sugar from the price per pound of Super Sugar:
Savings per pound = Price per pound of Super Sugar - Price per pound of Sweet Sugar
Savings per pound = $0.31 - $0.30 = $0.01
Therefore, Suman will save $0.01 per pound if he buys the Sweet Sugar brand.
To determine how much money per pound Suman will save if he buys the Sweet Sugar brand, we need to compare the prices of Sweet Sugar and Super Sugar per pound.
Looking at the Sweet Sugar table, we can see that for each weight option, there is a corresponding price. For example, for 2.5 lbs of Sweet Sugar, the price is $0.75. Similarly, for 15.0 lbs, the price is $4.50, and so on.
To find the price per pound of Sweet Sugar, we can divide the price by the weight for each option. Let's calculate the price per pound for the 2.5 lbs option:
Price per pound for 2.5 lbs of Sweet Sugar = $0.75 / 2.5 lbs = $0.30/lb
Similarly, we can calculate the price per pound for the other weight options in the Sweet Sugar table.
Next, let's compare these prices per pound with the prices per pound of Super Sugar.
Looking at the Super Sugar table, we can see that for each weight option, there is a corresponding price. For example, for 3.75 lbs of Super Sugar, the price is $1.16. Similarly, for 10.0 lbs, the price is $3.10, and so on.
To find the price per pound of Super Sugar, we can divide the price by the weight for each option. Let's calculate the price per pound for the 3.75 lbs option:
Price per pound for 3.75 lbs of Super Sugar = $1.16 / 3.75 lbs = $0.3093/lb (rounded to four decimal places)
Similarly, we can calculate the price per pound for the other weight options in the Super Sugar table.
Now, compare the prices per pound for Sweet Sugar and Super Sugar. Find the price per pound difference for each weight option by subtracting the price per pound of Sweet Sugar from the price per pound of Super Sugar.
Finally, we need to determine the maximum difference in price per pound among all the weight options. This will be the amount of money per pound that Suman will save if he buys the Sweet Sugar brand.
By analyzing this information, you can calculate the amount of money per pound that Suman will save if he buys the Sweet Sugar brand.