Question

Peter, Dustin, and Henry weigh on a digital scale. Peter's weight is 103.5 pounds, and Dustin's weight is 103.04 pounds. Henry's weight is 103.065 pounds. Henry writes these comparisons. Henry's weight > Dustin's weight Henry's weight < Peter's weight. Are Henry's comparisons correct?

a) Yes, both are correct.
b) No, both are incorrect.
c) The first is correct, the second is incorrect.
d) The first is incorrect, the second is correct.

Answer 1

Both of Henry's comparisons are correct; his weight is greater than Dustin's and less than Peter's, making option a) Yes, both are correct, the right answer.

Step-by-step explanation:

Regarding the question of whether Henry's comparisons of weights are accurate, let's break this down:

Peter's weight is 103.5 pounds, Dustin's weight is 103.04 pounds, and Henry's weight is 103.065 pounds.

When we compare the weights:

• Henry's weight (103.065 pounds) is greater than Dustin's weight (103.04 pounds) showing that the first comparison is correct.
• Henry's weight (103.065 pounds) is less than Peter's weight (103.5 pounds), indicating that the second comparison is also correct.

Henry's comparisons are incorrect. According to the given information, Peter weighs 103.5 pounds, Dustin weighs 103.04 pounds, and Henry weighs 103.065 pounds. Comparing the weights, we can see that Dustin's weight is less than both Henry's and Peter's weight, so the first comparison 'Henry's weight > Dustin's weight' is incorrect.

However, Henry's weight is less than Peter's weight, so the second comparison 'Henry's weight < Peter's weight' is correct. Therefore, the correct answer is d) The first is incorrect, the second is correct.

Thus, option a) Yes, both are correct is the right answer.