A hammer and a nail cost $1.10, and the hammer costs one dollar more than the nail. How much does the nail cost?

Hammer costs $1.05 and nail cost $0.05

hammer = h
nail = n

h + n = 1.10 (hammer + nail cost 1.10)
h = n + 1 (hammer cost 1 more than nail)

putting 2nd equation into first,

h + n = 1.10
becomes
n + 1 + n = 1.10

this means 2n + 1 = 1.10
so 2n = 0.10
so n = 0.05 (nail costs 0.05)

as h = n + 1
h = 0.05 + 1
so h = 1.05

so the hammer costs 1.05 and the nail cost 0.05

then check this works with original problem

hammer + nail = 1.10 .... yes
hammer costs 1 more than nail ... yes

problem solved!

alabiyemmy: hammer = h
nail = n

h + n = 1.10 (hammer + nail cost 1.10)
h = n + 1 (hammer cost 1 more than nail)

putting 2nd equation into first,

h + n = 1.10
becomes
n + 1 + n = 1.10

this means 2n + 1 = 1.10
so 2n = 0.10
so n = 0.05 (nail costs 0.05)

as h = n + 1
h = 0.05 + 1
so h = 1.05

so the hammer costs 1.05 and the nail cost 0.05

then check this works with original problem

hammer + nail = 1.10 .... yes
hammer costs 1 more than nail ... yes

problem solved!

You nailed it !!! Congratulations !!!

Its too simple.