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 Sweet Sugar to the price per pound of Super Sugar.
1. Calculate the price per pound for each brand:
- For Sweet Sugar, divide the price by the weight for each option:
- For 2.5 lbs: Price per pound = $0.75 / 2.5 lbs = $0.30 per pound
- For 15.0 lbs: Price per pound = $4.50 / 15.0 lbs = $0.30 per pound
- For 30.0 lbs: Price per pound = $9.00 / 30.0 lbs = $0.30 per pound
- For 100.0 lbs: Price per pound = $30.00 / 100.0 lbs = $0.30 per pound
- For Super Sugar, divide the price by the weight for each option:
- For 3.75 lbs: Price per pound = $1.16 / 3.75 lbs = $0.31 per pound
- For 10.0 lbs: Price per pound = $3.10 / 10.0 lbs = $0.31 per pound
- For 25.0 lbs: Price per pound = $7.75 / 25.0 lbs = $0.31 per pound
- For 110.0 lbs: Price per pound = $34.10 / 110.0 lbs = $0.31 per pound
2. Compare the price per pound for both brands:
- Sweet Sugar: $0.30 per pound
- Super Sugar: $0.31 per pound
3. Calculate the difference in prices per pound:
- $0.31 - $0.30 = $0.01 per pound
Therefore, Suman will save $0.01 per pound if he buys the Sweet Sugar brand.
To find out how much money per pound Suman will save if he buys the Sweet Sugar brand, we need to compare the price per pound of both brands of sugar.
The price per pound of Sweet Sugar can be calculated by dividing the price by the weight:
Price per pound of Sweet Sugar = Price ($) / Weight (lbs.)
For example, for the 2.5 lbs. bag of Sweet Sugar:
Price per pound = 0.75 / 2.5 = 0.30 ($)
Similarly, we can calculate the price per pound of Super Sugar.
Comparing the price per pound of both brands, we can find the difference:
Difference = Price per pound of Super Sugar - Price per pound of Sweet Sugar
Let's calculate the difference for each weight option of sugar and find the average saving:
2.5 lbs: 1.16 - 0.30 = 0.86 ($)
10.0 lbs: 3.10 - (4.50 / 15) = 3.10 - 0.30 = 2.80 ($)
25.0 lbs: 7.75 - (9.00 / 30) = 7.75 - 0.30 = 7.45 ($)
110.0 lbs: 34.10 - (30.00 / 100) = 34.10 - 0.30 = 33.80 ($)
Average saving = (0.86 + 2.80 + 7.45 + 33.80) / 4 = 44.91 / 4 = 11.23 ($)
Therefore, Suman will save $11.23 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 both brands.
For Sweet Sugar:
Price per pound = Price / Weight
For the different weight options provided in the table, the price per pound of Sweet Sugar is:
2.5 lbs: $0.75 / 2.5 = $0.30 per pound
15.0 lbs: $4.50 / 15.0 = $0.30 per pound
30.0 lbs: $9.00 / 30.0 = $0.30 per pound
100.0 lbs: $30.00 / 100.0 = $0.30 per pound
For Super Sugar:
Price per pound = Price / Weight
For the different weight options provided in the table, the price per pound of Super Sugar is:
3.75 lbs: $1.16 / 3.75 = $0.31 per pound
10.0 lbs: $3.10 / 10.0 = $0.31 per pound
25.0 lbs: $7.75 / 25.0 = $0.31 per pound
110.0 lbs: $34.10 / 110.0 = $0.31 per pound
Since the price per pound for both brands is the same at $0.31 per pound, Suman will not save any money per pound by buying the Sweet Sugar brand compared to the Super Sugar brand.