Answer:
x = 10
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:
![(x)/(12) = (5)/(6)](https://img.qammunity.org/2022/formulas/mathematics/middle-school/x8rxzaomb7gwzmmyoxdsgorzszx1nl2ulb.png)
Perform cross-multiplication:
6x = 60
Divide both sides by 6:
![(6x)/(6) = (60)/(6)](https://img.qammunity.org/2022/formulas/mathematics/middle-school/i89461x93i1qfh7rlc2k4trqfzsdohb7od.png)
x = 10
In order to verify its validity, substitute the value of x into the original proportion:
![(10)/(12) = (5)/(6)](https://img.qammunity.org/2022/formulas/mathematics/middle-school/1fsvviqulzczn2h2x2xeqfird4h5o8u2dv.png)
Perform cross-multiplication:
10 × 6 = 5 × 12
60 = 60 (True statement).
Therefore, the value of x = 10.