Sweet sugar:

Weight (lbs) 2.5, 15.0, 30.0, 100.0
Price ($) 0.75, 4.50, 9.00, 30.00

Super sugar:
Weight (lbs) 3.75, 10.0, 25.0, 110.0
Price ($) 1.16, 3.10, 7.75, 34.10
Based on the tables showing the price of buying different amounts of two brands of sugar, Symantec determined that sweet sugar was the better buy based on price alone. How much money per pound will sum an save if he buys the sweet sugar brand?
Duncan will save $___ per pound if he buys the sweet sugar brand.

3 answers

To determine how much money per pound Duncan will save if he buys the sweet sugar brand, we need to compare the price per pound of the two brands for each weight option.

For sweet sugar:
Price per pound (2.5 lbs) = $0.75/2.5 = $0.30 per pound
Price per pound (15 lbs) = $4.50/15 = $0.30 per pound
Price per pound (30 lbs) = $9.00/30 = $0.30 per pound
Price per pound (100 lbs) = $30.00/100 = $0.30 per pound

For super sugar:
Price per pound (3.75 lbs) = $1.16/3.75 = $0.31 per pound
Price per pound (10 lbs) = $3.10/10 = $0.31 per pound
Price per pound (25 lbs) = $7.75/25 = $0.31 per pound
Price per pound (110 lbs) = $34.10/110 = $0.31 per pound

It is clear that both brands have the same price per pound, which is $0.30 per pound. Therefore, Duncan will not save any money per pound if he buys the sweet sugar brand compared to the super sugar brand.
Wrong
Apologies for the incorrect response.

To find the difference in price per pound between sweet sugar and super sugar, we need to subtract the price per pound of super sugar from the price per pound of sweet sugar.

Sweet sugar price per pound = Price ($) / Weight (lbs)
Super sugar price per pound = Price ($) / Weight (lbs)

Calculations for sweet sugar:
Price per pound for sweet sugar when weight is 2.5 lbs = 0.75 / 2.5 = 0.30 $/lb
Price per pound for sweet sugar when weight is 15 lbs = 4.50 / 15 = 0.30 $/lb
Price per pound for sweet sugar when weight is 30 lbs = 9.00 / 30 = 0.30 $/lb
Price per pound for sweet sugar when weight is 100 lbs = 30.00 / 100 = 0.30 $/lb

Calculations for super sugar:
Price per pound for super sugar when weight is 3.75 lbs = 1.16 / 3.75 ≈ 0.31 $/lb
Price per pound for super sugar when weight is 10 lbs = 3.10 / 10 = 0.31 $/lb
Price per pound for super sugar when weight is 25 lbs = 7.75 / 25 ≈ 0.31 $/lb
Price per pound for super sugar when weight is 110 lbs = 34.10 / 110 ≈ 0.31 $/lb

By subtracting the price per pound of super sugar from the price per pound of sweet sugar, we can find the savings per pound if Duncan buys the sweet sugar brand.

Savings per pound = Sweet sugar price per pound - Super sugar price per pound

Savings per pound when weight is 2.5 lbs = 0.30 - 0.31 = -$0.01
Savings per pound when weight is 15 lbs = 0.30 - 0.31 = -$0.01
Savings per pound when weight is 30 lbs = 0.30 - 0.31 = -$0.01
Savings per pound when weight is 100 lbs = 0.30 - 0.31 = -$0.01

Therefore, Duncan will save $0.01 per pound if he buys the sweet sugar brand compared to the super sugar brand.