Answer
Using Adams's method, the shares are apportioned to each person as follows:
Person A is apportioned 12 shares.
Person B is apportioned 10 shares.
Person C is apportioned 8 shares.
Work Step by Step
We can find the total amount of contributions.
total contributions = \$795 + \$705 + \$525
total contributions = \$2025
We can find the standard divisor.
$standard ~divisor = \frac{total ~contributions}{shares}$
$standard ~divisor = \frac{2025}{30}$
$standard ~divisor = 67.5$
If we use the standard divisor and round each standard quota up to the nearest whole number, the sum of the shares will be more than 30 shares. To obtain a sum of 30 shares, we need to find a modified divisor that is slightly more than the standard divisor.
Let's choose a modified divisor of 72. Note that it may require a bit of trial-and-error to find a modified divisor that works. We can find the modified quota for each person.
Person A:
$modified~quota = \frac{contribution}{modified~divisor}$
$modified~quota = \frac{795}{72}$
$modified~quota = 11.04$
Person B:
$modified~quota = \frac{contribution}{modified~divisor}$
$modified~quota = \frac{705}{72}$
$modified~quota = 9.79$
Person C:
$modified~quota = \frac{contribution}{modified~divisor}$
$modified~quota = \frac{525}{72}$
$modified~quota = 7.29$
Using Adams's method, we apportion the shares by rounding the modified quota up to the nearest whole number. The shares are apportioned to each person as follows:
Person A is apportioned 12 shares.
Person B is apportioned 10 shares.
Person C is apportioned 8 shares.
Note that the sum of the apportioned shares is 30, so using a modified divisor of 72 is acceptable.
