$525 is shared among three friends - Math Central

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If $\$525$ is shared among three friends: Paul Katherine and Brandon so that Paul gets $15 less than Brandon and Katherine gets 4 times as much as Paul, how would I solve this equation?

Hi,

There are two statements

Paul gets $\$15$ less than Brandon

Katherine gets 4 times as much as Paul

Since Paul's name appears in both statements I am going to let Paul's share be $\$P.$

The first statement says that Paul gets $\$15$ less than Brandon so Brandon gets $\$15$ more than Paul. Hence Brandon gets $\$(P + 15).$ What does Katherine get in terms of $\$P?$ The sum is $\$525.$ what is $\$P?$

Penny







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