The bakery that belongs to its bakers

A small bakery belongs to its five workers. It has no boss: each worker owns an equal part, and each has one vote.

A bakery belongs to its $5$ workers. No boss; $1$ vote each.

$n=5$ workers, $1$ vote each.

At the end of the month the bakery made a profit of one hundred and twenty tokens. Sharing equally would give twenty-four tokens to each, but the workers' hours were different: five, ten, ten, fifteen and twenty, which is sixty hours in all.

The profit is $120$ tokens. Equal shares would be $\frac{120}{5}=24$ each, but the hours are $5+10+10+15+20=60$.

Profit $G=120$. Equal share $\frac{G}{n}=24$. Hours of worker $i$: $h_i$, with $\sum h_i=60$.

So they share by hours: every hour is worth two tokens. The shares are ten, twenty, twenty, thirty and forty tokens.

One hour is worth $\frac{120}{60}=2$ tokens, so the shares are $10,20,20,30,40$.

Share of worker $i$: $s_i=\frac{G}{60}{h}_i=2h_i$.

Votes are equal, but pay follows work. And the shares add up to exactly one hundred and twenty tokens, not one more, not one less.

Equal votes, pay by work: $10+20+20+30+40=120$.

$\sum s_i=120=G✓$