Question

A sporting goods salesperson sells 2 fishing reels and 5 rods for $275. The next day, the salesperson sells 4 reels and 2 rods for $190. How much does each cost?

Answer 1

The cost of each reel is $25 and the cost of each rod is $45

Explanation:

Let

x ---> the cost of each reel

y ---> the cost of each rod

we know that

`2x+5y=275` -----> equation A

`4x+2y=190` ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (25,45)

see the attached figure

therefore

The cost of each reel is $25 and the cost of each rod is $45