Question

Elinor wanted to order an 18-inch hoagie, which costs $7.99. The sandwich shop is out of 18-inch buns. They only have 12-inch buns. What should the percent decrease in cost of the hoagie be?

Answer 1

$7.99/18 = c/12

18c = $95.88

c = $5.33

($5.33 - $7.99)/$7.99 = -$2.66/$7.99 = -33.3%

The percent decrease in the cost of the hoagie is about 33.3%.

Answer 2

The cost of the 12-inch hoagie should be about 66.67% of the cost of an 18-inch hoagie, which comes to $5.33. Thus, there should be a percent decrease in cost of approximately 33.29% for the hoagie on a 12-inch bun compared to the 18-inch version.

Step-by-step explanation:

The subject of the question is Mathematics, specifically it involves the concept of percent decrease. Initially, Elinor wants to purchase an 18-inch hoagie for $7.99, but the shop only has 12-inch buns available. To determine the appropriate percent decrease in cost, we should relate the size of the hoagies to their costs.

We assume that the cost of a hoagie is directly proportional to its length. Thus, reducing the length from 18 inches to 12 inches, which is ⅓ or about 66.67% of the original length, suggests that the price should also be 66.67% of the original price if we keep the cost proportionate. To find the new cost, we calculate 66.67% of $7.99:

New cost = 0.6667 × $7.99 = $5.33 (rounded to the nearest cent).

Now, we compute the percent decrease in cost using the formula:

Percent Decrease = × (× (Original Price - New Price) / Original Price) × 100%

Percent Decrease = (× ($7.99 - $5.33) / $7.99) × 100% ≈ 33.29%

Therefore, the sandwich shop should charge about 33.29% less for the 12-inch hoagie compared to the 18-inch hoagie.