Question

A salesperson at Crabby Crystal's Sea Life Store sells 2 fishing reels and 5 rods for $295. The next day, the salesperson sells 4 reels and 2 rods for $230. Find the cost of each. Write both equations and solve the system.

Answer 1

1 fishing reel costs $35

1 rod costs $45

Explanation:

let the cost of fishing reels be f and the cost of rods be r

2f + 5r = 295 Equation1

4f + 2r = 230 Equation2

multiply Equation1 by -2

-2(2f + 5r = 295 )

-4f -10r = -590 Equation3

Add Equations 2 & 3

4f + 2r = 230

-4f -10r = -590

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-8r = -360

r = 45

substitute r = 45 to any of the equations

I use 2f + 5r = 295

2f + 5(45) = 295

2f + 225 = 295

2f = 70

f = 35