Answer:
x = 10
Step-by-step explanation:
Given the ratio, 5:6, which is also the same as ⅚. In order to solve for the unknown value, x, we can establish the following proportion:
[tex]\frac{x}{12} = \frac{5}{6}[/tex]
Perform cross-multiplication:
6x = 60
Divide both sides by 6:
[tex]\frac{6x}{6} = \frac{60}{6}[/tex]
x = 10
In order to verify its validity, substitute the value of x into the original proportion:
[tex]\frac{10}{12} = \frac{5}{6}[/tex]
Perform cross-multiplication:
10 × 6 = 5 × 12
60 = 60 (True statement).
Therefore, the value of x = 10.
