A company is forming a committee to discuss future plans. Of those invited to join the committee, 10% are managers, 35% are standard employees,
20% are shareholders, and the remaining 7 individuals are customers. How many more shareholders were invited
to join the committee than managers?
The customers must make up the remaining percentage of the total.
$$ \text{Customer percentage}=100-(10+35+20) $$
$$ = 100-65 $$
$$ = 35\% $$
We can find the total number of individuals at the meeting using the values for the customers:
$$ 0.35(\text{ Total})= 7 $$
$$ \text{ Total} = 20 $$
Shareholders make up 20% of the committee whereas managers make up 10%. Therefore,
$$ \text{Difference}=(0.20-0.10)(20) $$
$$ = (0.10)(20) $$
$$ = \boxed{2} $$