SOLUTION: Jcobo delivers twice as many papers as Dahlia, who delivers 100 more papers than Rashid. If all together 500 paper are delivered, how many papers does each child deliver?

Algebra ->  Algebra  -> Rate-of-work-word-problems -> SOLUTION: Jcobo delivers twice as many papers as Dahlia, who delivers 100 more papers than Rashid. If all together 500 paper are delivered, how many papers does each child deliver?      Log On

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Question 572652: Jcobo delivers twice as many papers as Dahlia, who delivers 100 more papers than Rashid. If all together 500 paper are delivered, how many papers does each child deliver?
Answer by josmiceli(9668) About Me  (Show Source):
You can put this solution on YOUR website!
Call the number of papers they deliver
+j+, +d+, and +r+
given:
(1) +j+=+2d+
(2) +d+=+r+%2B+100+
(3) +j+%2B+d+%2B+r+=+500+
----------------------------
From(2)
+r+=+d+-+100+
Substitute (1) and (2) into (3)
(3) +2d+%2B+d+%2B+d+-+100+=+500+
(3) +4d+=+500+%2B+100+
(3) +d+=+600%2F4+
(3) +d+=+150+
and, since
(1) +j+=+2d+
(1) +j+=+2%2A150+
(1) +j+=+300+
and
(2) +r+=+d+-+100+
(2) +r+=+150+-+100+
(2) +r+=+50+
Jcobo delivers 300
Dahlia delivers 150
Rashid delivers 50