Riley has (8p+7) one-dollar coins and (2p+5) one-dollar bills. Pam has 7p dollars fewer than Riley. How much money does Pam have? Answer in terms of p. If p=6, how much money will Pam have after she gives half her money to Riley?

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Answer 1 · 2018-06-22T00:02:58

$10 p + 12$ $10p + 12$ dollars
$3 p + 12$ $3p + 12$ dollars
$15$ $15$ dollars

First we just add up all of Riley's dollars in terms of p.

$8 p + 7 + 2 p + 5 = 10 p + 12$ $8p + 7 + 2p + 5 = 10p + 12$ dollars

Pam has 7p less:
$10 p + 12 - 7 p = 3 p + 12$ $10p + 12 - 7p = 3p + 12$ dollars

If p = 6, then she has a total of $18 + 12 = 30$ $18 + 12 = 30$ dollars

Giving half away leaves her with $15$ $15$ dollars