Sweet sugar. Super sugar
Weight. Price. Weight. Price
2.5. 0.75. 3.75. 1.16
15.0. 4.50. 10.0. 3.10
30.0. 9.00. 25.0. 7.75
100.0. 30.0. 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 better buy based on price alone. How much money per pound will Suman save if he buys Sweet sugar brand?
To determine how much money per pound Suman will save if he buys Sweet sugar brand, we need to find the difference in price per pound between the two brands.
For Sweet sugar:
Price per pound = Price / Weight
First row: 0.75 / 2.5 = 0.3
Second row: 4.5 / 15 = 0.3
Third row: 9 / 30 = 0.3
Fourth row: 30 / 100 = 0.3
For Super sugar:
Price per pound = Price / Weight
First row: 1.16 / 3.75 = 0.3093333333
Second row: 3.1 / 10 = 0.31
Third row: 7.75 / 25 = 0.31
Fourth row: 34.1 / 110 = 0.3109090909
To find the average price per pound for each brand, we add up the price per pound for each row and divide by the number of rows:
Average price per pound for Sweet sugar = (0.3 + 0.3 + 0.3 + 0.3) / 4 = 0.3
Average price per pound for Super sugar = (0.3093333333 + 0.31 + 0.31 + 0.3109090909) / 4 ≈ 0.3100606061
Suman will save approximately 0.31 - 0.3 = 0.01 dollars per pound by buying Sweet sugar brand.
To determine how much money per pound Suman will save if he buys the Sweet sugar brand, we need to compare the prices of the two brands for the same weight.
For the weight options given, we can calculate the price per pound for each brand of sugar.
For Sweet sugar:
- For 2.5 pounds, the price is $0.75. Therefore, the price per pound is $0.75 / 2.5 pounds = $0.30 per pound.
- For 15 pounds, the price is $4.50. Therefore, the price per pound is $4.50 / 15 pounds = $0.30 per pound.
- For 30 pounds, the price is $9.00. Therefore, the price per pound is $9.00 / 30 pounds = $0.30 per pound.
- For 100 pounds, the price is $30.00. Therefore, the price per pound is $30.00 / 100 pounds = $0.30 per pound.
For Super sugar:
- For 3.75 pounds, the price is $1.16. Therefore, the price per pound is $1.16 / 3.75 pounds = $0.31 per pound.
- For 10 pounds, the price is $3.10. Therefore, the price per pound is $3.10 / 10 pounds = $0.31 per pound.
- For 25 pounds, the price is $7.75. Therefore, the price per pound is $7.75 / 25 pounds = $0.31 per pound.
- For 110 pounds, the price is $34.10. Therefore, the price per pound is $34.10 / 110 pounds = $0.31 per pound.
Comparing the price per pound of Sweet sugar ($0.30 per pound) to that of Super sugar ($0.31 per pound), Suman will save $0.01 per pound if he buys Sweet sugar brand instead.
Thus, Suman will save $0.01 per pound if he buys Sweet sugar brand compared to Super sugar brand.
To determine how much Suman 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.
Let's first calculate the price per pound for each brand of sugar:
For Sweet sugar:
- The price for 2.5 pounds is $0.75, so the price per pound is $0.75 / 2.5 = $0.30 per pound.
- The price for 15 pounds is $4.50, so the price per pound is $4.50 / 15 = $0.30 per pound.
- The price for 30 pounds is $9.00, so the price per pound is $9.00 / 30 = $0.30 per pound.
- The price for 100 pounds is $30.00, so the price per pound is $30.00 / 100 = $0.30 per pound.
For Super sugar:
- The price for 3.75 pounds is $1.16, so the price per pound is $1.16 / 3.75 = $0.31 per pound.
- The price for 10 pounds is $3.10, so the price per pound is $3.10 / 10 = $0.31 per pound.
- The price for 25 pounds is $7.75, so the price per pound is $7.75 / 25 = $0.31 per pound.
- The price for 110 pounds is $34.10, so the price per pound is $34.10 / 110 = $0.31 per pound.
From the calculations, we can see that the price per pound for both Sweet sugar and Super sugar is $0.30 and $0.31, respectively.
To determine the amount Suman will save by buying the Sweet sugar brand, we need to subtract the price per pound of Sweet sugar from the price per pound of Super sugar.
So, the savings per pound would be:
$0.31 - $0.30 = $0.01
Therefore, Suman will save $0.01 per pound if he buys the Sweet sugar brand instead of the Super sugar brand.