Question

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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Answer 1

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.