The Italian size of a suit jacket is N centimeters, where N is the linear distance between the armpits. The American size of a suit jacket is 2.5P centimeters, where 2.5P is twice the linear distance between the armpits. If, for a particular jacket, N = P + 10, which of the following is closest to the value of N?

A. 36

B. 47

C. 58

D. 65

E. 72

Question

West

Mathematics

12 September, 02:16

The Italian size of a suit jacket is N centimeters, where N is the linear distance between the armpits. The American size of a suit jacket is 2.5P centimeters, where 2.5P is twice the linear distance between the armpits. If, for a particular jacket, N = P + 10, which of the following is closest to the value of N?

A. 36

B. 47

C. 58

D. 65

E. 72

+1

Answers (1)

Know the Answer?

Ellen Moyer · Answer 1

B) 47

Step-by-step explanation:

Given:

N = linear distance between the armpits in cm

2.5P = 2N

or

P = (2 : 2.5) N

or

P = 0.8N ... (1)

also,

N = P + 10,

substituting the value of P from (1) we get

N = 0.8N + 10

or

N - 0.8N = 10

or

0.2N = 10

or

N = 10 : 0.2

or

N = 50

Hence

the value is closest to option (B) 47