Find three consecutive odd integers such that the sum of the first, two times the second and three times the third is 82.

Choose the mathematical translation for the given situation.

A.

6 x plus 16 equals 82

6x+16=82

B.

6 x plus 8 equals 82

6x+8=82

C.

3 x plus 3 equals 82

3x+3=82

D.

3 x plus 6 equals 82

3x+6=82

A. 6x plus 16 equals 826x + 16 = 82

Step-by-step explanation:

x, x + 2, x + 4 - three consecutive odd integers

The equation:

"the sum of the first, two times the second and three times the third is 82"

x + 2 (x + 2) + 3 (x + 4) = 82 use distributive property a (b + c) = ab + ac

x + 2x + 4 + 3x + 12 = 82 combine like terms

(x + 2x + 3x) + (4 + 12) = 82

6x + 16 = 82