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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