Question

Eight plus two-thirds a number is 12.

Answer 1

Answer: a=6

Explanation:

`\displaystyle\\8+(2)/(3)a=12 \\\\8+(2)/(3)a-8=12-8\\\\(2)/(3)a=4\\`

Multiply both parts of the equation by 3:

`\displaystyle\\(2)/(3)a(3)=4(3)\\\\ 2a=12\\\\`

Divide both parts of the equation by 2:

`a=6`

Answer 2

8 and 2/3 of 6 equals 12

Explanation:

12 - 8 = 4

4 is 2/3 of 6