Question

The cost of a flashlight and compass is $11. The cost of a flashlight and canteen is $9. The cost of a canteen and compass is$8. What does each item cost?

Answer 1

cost of flashlight=6

cost of compass=5

cost of canteen=3

Explanation

let  cost of flashlight=x

cost of compass=y

cost of canteen=z

x+y=11(1)

x=11-y(2)

x+z=9(3)

z+y=8(4)

put (1)  in (3)

x+z=9

11-y+z=9

y-z=11-9=2(5)

solve (4) and (5)

2y=10

y=10/2=5

z=3

put the value of y in (1)

x+y=11

x+5=11

x=11-5=6