Three roommates share the rent

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Question from Cortlin, a parent:

Because of different bedroom sizes, three roommates decide to split the rent this way:
Roommate A pays 75% as much as B does, and C pays 40% as much as B does.
What fractional part and percent of the rent does each roommate pay?

Hi Cortlin,

Suppose that the rent is $\$r$ and B pays $\$b.$ How much does A pay? How much does C pay? The sum of the amounts each pay is $\$r.$ What fraction of $\$r$ does B pay?

Penny

Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.