Question

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

Answer 1

A.

6x plus 16 equals 82

6x + 16 = 82

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