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.
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.
To determine how much money per pound Duncan will save if he buys the sweet sugar brand, we need to compare the prices per pound of the two brands.
For sweet sugar:
Weights: 2.5 lbs, 15.0 lbs, 30.0 lbs, 100.0 lbs
Prices: $0.75, $4.50, $9.00, $30.00
For super sugar:
Weights: 3.75 lbs, 10.0 lbs, 25.0 lbs, 110.0 lbs
Prices: $1.16, $3.10, $7.75, $34.10
To find the price per pound for each brand, we divide the total price by the weight.
For sweet sugar:
Price per pound = Price / Weight
For super sugar:
Price per pound = Price / Weight
Now let's calculate the price per pound for both brands.
To find out how much money per pound Duncan will save if he buys the sweet sugar brand, we need to calculate the difference in price per pound between sweet sugar and super sugar.
To do this, we divide the price by the weight for both brands of sugar and then subtract the price per pound for super sugar from the price per pound for sweet sugar.
Calculations for sweet sugar:
Price per pound = Price ($) / Weight (lbs)
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 $/lb (same as above)
Calculations for super sugar:
Price per pound = Price ($) / Weight (lbs)
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 (same as above)
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 (same as above)
By comparing the price per pound for sweet sugar to the price per pound for super sugar, we can see that the price per pound for both brands is approximately $0.30/lb.
Therefore, Duncan will not save any money per pound by buying the sweet sugar brand.
Wrong
Apologies for the incorrect response.
To find the difference in price per pound between sweet sugar and super sugar, we need to subtract the price per pound of super sugar from the price per pound of sweet sugar.
Sweet sugar price per pound = Price ($) / 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.