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.
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To determine how much money per pound Suman will save if he buys the Sweet Sugar brand, we need to compare the price per pound of both brands of sugar.
For Sweet Sugar:
Price per pound = Price ($)/Weight (lbs.)
For the weight of 2.5 lbs. of Sweet Sugar:
Price per pound of Sweet Sugar = $0.75/2.5 = $0.30/lb
For Super Sugar:
Price per pound = Price ($)/Weight (lbs.)
For the weight of 3.75 lbs. of Super Sugar:
Price per pound of Super Sugar = $1.16/3.75 = $0.31/lb
Therefore, Suman will save $0.01 per pound if he buys the Sweet Sugar brand.
To determine how much money per pound Suman will save if he buys the Sweet Sugar brand, we need to find the difference in price per pound between Sweet Sugar and Super Sugar.
Let's calculate the price per pound for each brand:
For Sweet Sugar:
Price per pound = Price ($) / Weight (lbs.)
For the given weights in the table, we have:
Price per pound for 2.5 lbs. of Sweet Sugar = 0.75 / 2.5 = 0.30 $
Price per pound for 15 lbs. of Sweet Sugar = 4.50 / 15 = 0.30 $
Price per pound for 30 lbs. of Sweet Sugar = 9.00 / 30 = 0.30 $
Price per pound for 100 lbs. of Sweet Sugar = 30.00 / 100 = 0.30 $
For Super Sugar:
Price per pound for 3.75 lbs. of Super Sugar = 1.16 / 3.75 = 0.31 $
Price per pound for 10 lbs. of Super Sugar = 3.10 / 10 = 0.31 $
Price per pound for 25 lbs. of Super Sugar = 7.75 / 25 = 0.31 $
Price per pound for 110 lbs. of Super Sugar = 34.10 / 110 = 0.31 $
Now, let's calculate the difference in price per pound between Sweet Sugar and Super Sugar:
Price difference per pound = Price per pound of Sweet Sugar - Price per pound of Super Sugar
For all the weights, the price difference per pound is:
0.30 - 0.31 = -0.01 $
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 compare the price per pound of Sweet Sugar with the price per pound of Super Sugar.
From the table, we can see that for Sweet Sugar, the price for 2.5 lbs is $0.75, for 15.0 lbs is $4.50, for 30.0 lbs is $9.00, and for 100.0 lbs is $30.00.
To find the price per pound for Sweet Sugar, we divide the total price by the weight in pounds. For example, for 2.5 lbs of Sweet Sugar, the price per pound is $0.75 divided by 2.5 lbs which equals $0.30 per pound.
We can perform this calculation for all the given weights of Sweet Sugar and find the corresponding prices per pound.
Similarly, we can do the same calculations for Super Sugar.
From the table, we can see that for Super Sugar, the price for 3.75 lbs is $1.16, for 10.0 lbs is $3.10, for 25.0 lbs is $7.75, and for 110.0 lbs is $34.10.
By dividing the total price by the weight in pounds for Super Sugar, we find the corresponding prices per pound.
After calculating the prices per pound for both Sweet Sugar and Super Sugar, we can compare the prices.
Based on price alone, if Suman buys Sweet Sugar, he will save a certain amount per pound compared to buying Super Sugar. Subtracting the price per pound of Super Sugar from the price per pound of Sweet Sugar will give us the savings per pound if Suman buys Sweet Sugar.
Let's perform the calculations to find out the actual amount Suman will save per pound if he buys the Sweet Sugar brand.