SOLUTION: Please help me answer this problem into equation: Jason and Bill share a bookshelf in their room. Jason has four more than twice as many books as Bill, and there are 22 books on th

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Question 988943: Please help me answer this problem into equation: Jason and Bill share a bookshelf in their room. Jason has four more than twice as many books as Bill, and there are 22 books on the shelf. How many of the books belong to Jason and how many belong to Bill?
Found 2 solutions by macston, josmiceli:
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
B=number of Bill's books; J=number of Jason's books=2B+4
.
B+J=22
B+2B+4=22
3B=18
B=6 ANSWER 1: Bill has 6 books
J=2B+4=2(6)+4=12+4=16 ANSWER 2: Jason has 16 books.
.
CHECK:
B+J=22
6+16=22
22=22

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +j+ = number of books Jason has
Let +b+ = number of books Bill has
-----------------------------------
given:
(1) +j+=+2b+%2B+4+
(2) +j+%2B+b+=+22+
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Substitute (1) into (2)
(2) +2b+%2B+4+%2B+b+=+22+
(2) +3b+=+18+
(2) +b+=+6+
and
(2) +j+%2B+b+=+22+
(2) +j+%2B+6+=+22+
(2) +j+=+16+
--------------------
Jason has 16 books
Bill has 6 books
--------------------
check:
(1) +j+=+2b+%2B+4+
(1) +16+=+2%2A6+%2B+4+
(1) +16+=+16+
OK