Question

Len bought 12.3 ounces of cashews and 15.2 ounces of almonds.

He calculates that if he and four friends share all the nuts equally,
each person will receive 5.1 ounces of nuts.
Which is the best explanation for whether or not his answer is reasonable?
A. Not reasonable; 12.3 + 15.2 = 25.5 and 25.5 ÷ 5 = 4.5.
B. Not reasonable; 12.3 + 15.2 = 27.5 and 27.5 ÷ 5 = 5.5.
C. Reasonable; 12.3 + 15.2 = 27.5 and 27.5 ÷ 5 = 5.1.
D. Reasonable; 12.3 + 15.2 = 25.5 and 25.5 ÷ 5 = 5.1.

Answer 1

The student's answer is not reasonable because the calculated amount of nuts per person does not match their answer.

Step-by-step explanation:

The student's answer is not reasonable. To check if his answer is reasonable, we should add the weights of cashews (12.3 ounces) and almonds (15.2 ounces), which gives us a total of 27.5 ounces. Next, we divide this total by the number of people (5), resulting in 5.5 ounces per person. However, the student's answer is 5.1 ounces. Therefore, Option B (Not reasonable; 12.3 + 15.2 = 27.5 and 27.5 ÷ 5 = 5.5) is the correct explanation for why his answer is not reasonable.

Answer 2

B

Step-by-step explanation:

Total ounces of nuts is cashews (12.3 ounces) plus almonds (15.2 ounces) is 27.5 ounces. If you divide 27.5 ounces by 5 people, 27.5 / 5 = 5.5 ounces each.