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?

Answer 1

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. Let's assume the price of Sweet Sugar is X dollars per pound, and the price of the other brand is Y dollars per pound.

If Suman buys 1 pound of Sweet Sugar, he will pay X dollars. Let's assume he buys N pounds of sugar in total.

If he buys the other brand, he would pay Y dollars per pound, so for N pounds, he would pay N * Y dollars.

To find out how much Suman will save if he buys the Sweet Sugar brand, we subtract the total price of the other brand from the total price of Sweet Sugar: N * Y - N * X.

Since Suman determined that Sweet Sugar was the better buy based on price alone, it means that N * X < N * Y, or X < Y.

Therefore, Suman will save (N * Y - N * X) dollars in total. To find out how much he saves per pound, we divide this total by N:

(N * Y - N * X) / N = Y - X.

So Suman will save Y - X dollars per pound if he buys the Sweet Sugar brand.