SOLUTION: Next door neighbors Jim and Jack are planning their spring garden. Each will construct a rectangular garden surrounded by a chain link fence. The length of Jim's garden will be 10

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Next door neighbors Jim and Jack are planning their spring garden. Each will construct a rectangular garden surrounded by a chain link fence. The length of Jim's garden will be 10       Log On


   



Question 1096744: Next door neighbors Jim and Jack are planning their spring garden. Each will construct a rectangular garden surrounded by a chain link fence. The length of Jim's garden will be 10 feet more than 2 times its width. The length of Jacks Garden will be 5 feet less than three times its width . The length of both gardens will be the same.
Write an expression to represent the amount of chain fence needed to enclose jim's garden.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = the width of Jim's garden in ft
+2a+%2B+10+ = the length of Jim's garden in ft
Let +b+ = the width of Jack's garden in ft
+3b+-+5+ = the length of Jack's garden in ft
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given:
+2a+%2B+10+=+3b+-+5+
+-2a+%2B+3b+=+15+
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Let +C+ = length of chain needed to enclose Jim's garden
+C+=+2a+%2B+2%2A%28+2a+%2B+10+%29+
+C+=+2a+%2B+4a+%2B+20+
+C+=+6a+%2B+20+
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Is this all the given data?
I don't know why they say the length
of both gardens is the same