SOLUTION: Please help me solve. Tom, Dave, and Harry went crabbin'. Dave caught 5 more crabs then Tom. Harry caught twice the number Dave caught. They ended the day with 75 crabs. How many

Algebra ->  Equations -> SOLUTION: Please help me solve. Tom, Dave, and Harry went crabbin'. Dave caught 5 more crabs then Tom. Harry caught twice the number Dave caught. They ended the day with 75 crabs. How many      Log On


   

Question 509189: Please help me solve.
Tom, Dave, and Harry went crabbin'. Dave caught 5 more crabs then Tom. Harry caught twice the number Dave caught. They ended the day with 75 crabs. How many crabs did each catch?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Tom, Dave, and Harry caught t,d, and h
number of crabs
given:
(1) +d+=+t+%2B+5+
(2) +h+=+2d+
(3) +t+%2B+d+%2B+h+=+75+
----------------
(1) +t+=+d+-+5+
Substitute (1) and (2) into (3)
(3) +d+-+5+%2B+d+%2B+2d+=+75+
(3) +4d+=+80+
(3) +d+=+20+
and
(2) +h+=+2%2A20+
(2) +h+=+40+
and
(1) +t+=+20+-+5+
(1) +t+=+15+
Tom, Dave, and Harry caught 15, 20, and 40 crabs