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 Suman will save per pound if he buys the Sweet Sugar brand, we need to compare the prices of the two brands per pound.
For Sweet Sugar:
Price of 2.5 lbs = $0.75
Price of 15 lbs = $4.50
Cost per pound of Sweet Sugar:
Cost of 2.5 lbs / 2.5 lbs = $0.75 / 2.5 lbs = $0.30 per pound
Cost of 15 lbs / 15 lbs = $4.50 / 15 lbs = $0.30 per pound
For Super Sugar:
Price of 3.75 lbs = $1.16
Price of 10 lbs = $3.10
Cost per pound of Super Sugar:
Cost of 3.75 lbs / 3.75 lbs = $1.16 / 3.75 lbs = $0.31 per pound
Cost of 10 lbs / 10 lbs = $3.10 / 10 lbs = $0.31 per pound
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 per pound between Sweet Sugar and Super Sugar.
Let's compare the prices of both sugar brands for a weight of 1 pound:
- Sweet Sugar: $0.75
- Super Sugar: $1.16
To calculate the savings per pound, we subtract the price of Sweet Sugar from the price of Super Sugar:
$1.16 - $0.75 = $0.41
Therefore, Suman will save $0.41 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 of the two brands.
Let's calculate the price per pound for each brand by dividing the total price by the weight:
For Sweet Sugar:
- Price for 2.5 lbs = $0.75
- Price per pound = $0.75 / 2.5 lbs = $0.30/lb
For Super Sugar:
- Price for 3.75 lbs = $1.16
- Price per pound = $1.16 / 3.75 lbs = $0.3093/lb (rounded to four decimal places)
Now, let's calculate the difference in price per pound between the two brands:
Price per pound of Sweet Sugar - Price per pound of Super Sugar
= $0.30/lb - $0.3093/lb = -$0.0093/lb
Since the difference is negative, it means that Sweet Sugar is cheaper per pound than Super Sugar. Therefore, if Suman buys the Sweet Sugar brand, he will save $0.0093 per pound compared to buying Super Sugar.