SOLUTION: Lia, phil and cam collect a total of $200.30 for a holiday fundraiser. Phil collects $12.80 more than Lia. Cam collects 3 times as much as Lia. How much does each person collect?

Question 940613: Lia, phil and cam collect a total of $200.30 for a holiday fundraiser. Phil collects $12.80 more than Lia. Cam collects 3 times as much as Lia. How much does each person collect?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
L=Lia's collections, P=Phil's collections C=Cam's collections
P=L+$12.80, C=3L, L+P+C=$200.30
Substitute for P and C and solve for L
L+P+C=$200.30
L+(L+$1280)+3L=$200.30
5L+$12.80=$200.30 Subtract $12.80 from both sides
5L+$12.80-$12.80=$200.30-$12.80
5L=$187.50 divide both sides by 5
L=$37.50 ANSWER 1 Lia collects $37.50
P=L+$12.80
P=$37.50+$12.80=$50.30 ANSWER 2 Phil collects $50.30
C=3L
C=3($37.50)=$112.50 ANSWER 3 Cam collects $112.50
CHECK:
L+P+C=$200.30
$37.50+$50.30+$112.50=$200.30
$200.30=$200.30
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