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 if he buys the Sweet Sugar brand, we need to compare the prices per pound of the two brands.
For Sweet Sugar:
Price per pound = Price / Weight = 0.75 / 2.5 = 0.3 dollars per pound
For Super Sugar:
Price per pound = Price / Weight = 1.16 / 3.75 = 0.3093 dollars per pound
Suman will save 0.3093 - 0.3 = 0.0093 dollars 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 the two brands of sugar.
The price per pound of Sweet Sugar is calculated by dividing the price by the weight. Let's calculate the price per pound for Sweet Sugar using the given table:
Price per pound of Sweet Sugar (for different weights):
2.5 lbs: $0.75/2.5 = $0.30 per lb
15.0 lbs: $4.50/15.0 = $0.30 per lb
30.0 lbs: $9.00/30.0 = $0.30 per lb
100.0 lbs: $30.00/100.0 = $0.30 per lb
The price per pound of Super Sugar can be calculated in a similar way using the given table:
Price per pound of Super Sugar (for different weights):
3.75 lbs: $1.16/3.75 = $0.31 per lb
10.0 lbs: $3.10/10.0 = $0.31 per lb
25.0 lbs: $7.75/25.0 = $0.31 per lb
110.0 lbs: $34.10/110.0 = $0.31 per lb
As we can see, the price per pound for both brands is the same, which is $0.30 per pound for Sweet Sugar and $0.31 per pound for Super Sugar.
Therefore, Suman will save $0.01 per pound if he buys the Sweet Sugar brand compared to the Super Sugar brand.
To determine how much money per pound Suman will save if he buys the Sweet Sugar brand, we need to calculate the price difference between Sweet Sugar and Super Sugar and then divide it by the weight.
Let's start by finding the price difference for each weight option:
For 2.5 lbs of Sweet Sugar, the price is $0.75.
For 2.5 lbs of Super Sugar, the price is $1.16.
The price difference for 2.5 lbs is $1.16 - $0.75 = $0.41.
For 15 lbs of Sweet Sugar, the price is $4.50.
For 15 lbs of Super Sugar, the price is $3.10.
The price difference for 15 lbs is $4.50 - $3.10 = $1.40.
For 30 lbs of Sweet Sugar, the price is $9.00.
For 30 lbs of Super Sugar, the price is $7.75.
The price difference for 30 lbs is $9.00 - $7.75 = $1.25.
For 100 lbs of Sweet Sugar, the price is $30.00.
For 100 lbs of Super Sugar, the price is $34.10.
The price difference for 100 lbs is $34.10 - $30.00 = $4.10.
Now, we take the sum of all the price differences and divide it by the total weight of sugar. In this case, the total weight of sugar is 2.5 lbs + 15 lbs + 30 lbs + 100 lbs = 147.5 lbs.
Sum of price differences = $0.41 + $1.40 + $1.25 + $4.10 = $7.16.
Savings per pound = Sum of price differences / Total weight of sugar = $7.16 / 147.5 lbs.
Therefore, Suman will save approximately $0.0486 per pound if he buys the Sweet Sugar brand instead of the Super Sugar brand.