Question

Consider the following exam question and student solution Determine whether the solution is correct if it is not correct, write a note to the student explaining why it is wrong and give a correct solution Exam question. You can buy a 57-pound bag of flour for 59 or you can buy a 1-pound bag for 50 49 Compare the per pound cost for the large and small bags. a Student solution. The large bag price is 57 - 59 = 56,33 per pound which is much more than the 19 per pound price of the small bag COM Select the correct choice below and. If necessary, fill in the answer box to complete your choice

A. The student's solution is correct
B. The student's solution is incorrect. The student should have converted 49€ per pound to dollars per pound before writing the exam solution. He should have converted 49 cents per pound to 5 per pound (Round to the nearest cent as needed)
C. The student's solution is incorrect. The student's division gives an answer with units of pounds per dollar but he should seek an answer in dollars per pound The answer in dollars per pound is 5 per pound, which is less than the 50 49 per pound for the smaller bag (Round to the nearest cent as needed.)

Answer 1

The student's solution is incorrect.

KINDA LONG EXPLANATION SORRY!

To compare the per pound cost for the large and small bags, we need to calculate the cost per pound for each bag.

For the large bag, the cost is $59 for a 57-pound bag.

So, the cost per pound is $59 divided by 57 pounds, which is approximately $1.04 per pound (rounding to the nearest cent). For the small bag, the cost is $0.49 for a 1-pound bag. So, the cost per pound is $0.49 divided by 1 pound, which is also $0.49 per pound.

Comparing the two costs, we can see that the cost per pound for the large bag is higher ($1.04 per pound) compared to the small bag ($0.49 per pound). Therefore, the correct solution is that the small bag is cheaper per pound than the large bag. In the exam solution, the student made a mistake in calculating the cost per pound for the large bag.

They subtracted 59 from 57, which resulted in an incorrect value of 56.33 per pound. Additionally, they compared this value to the cost per pound for the small bag, which they correctly stated as 49 cents per pound. However, they did not convert the cents to dollars, which would be necessary for a proper comparison. To fix the mistake, the student should have divided 49 cents by 100 to convert it to dollars, giving a cost per pound of $0.49. They should have compared this value to the correct cost per pound for the large bag ($1.04 per pound) to determine that the small bag is cheaper per pound. In conclusion, the student's solution is incorrect because they made a calculation error and did not convert the cents to dollars for the small bag. The correct solution would be that the small bag is cheaper per pound than the large bag.

Answer 2

The student's method of computing the cost per pound for the large bag of flour was incorrect. The corrected cost per pound for the large bag is $1.04 after dividing $59 by 57 pounds and comparing it to the small bag's cost of $0.49 per pound. Therefore, the correct answer is option B. The student's solution is incorrect. The student should have converted 49€ per pound to dollars per pound before writing the exam solution. He should have converted 49 cents per pound to 5 per pound (Round to the nearest cent as needed)

Step-by-step explanation:

The student's solution is incorrect. To determine the cost per pound for each bag of flour, we need to divide the total cost by the number of pounds. In the case of the large bag, the cost per pound is computed by dividing $59 by 57 pounds. For the small bag, the cost per pound is simply the given $0.49.

Here's the correct calculation for the large bag:

59 ÷ 57 = $1.0351 per pound

Round this to the nearest cent to obtain $1.04 per pound.

Comparing this to the small bag's cost per pound, we have:

Large bag: $1.04 per pound

Small bag: $0.49 per pound

Therefore, the large bag has a higher cost per pound than the small bag.

The correct calculation is as follows:

Large bag price per pound = 59 / 57 = 1.03 (rounded to the nearest cent)

Small bag price per pound = 50 / 49 = 1.02 (rounded to the nearest cent)

Therefore, the per pound cost for the large bag is $1.03, which is slightly more than the per pound cost for the small bag, which is $1.02.

Therefore, the correct answer is option B. The student's solution is incorrect. The student should have converted 49€ per pound to dollars per pound before writing the exam solution. He should have converted 49 cents per pound to 5 per pound (Round to the nearest cent as needed)