If a hammer and a nail cost $1.10 and hammer costs one dollar more than the nail, how much does the nail cost?
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Answer:
If you quickly blurt out “10 cents”, you’re not paying attention.
(If the nail cost 10 cents, the hammer would cost a dollar, which would make it 90 cents more expensive than the nail.)
Here is how you solve this.
Let us call;
Hammer = h
Nail = n.
From the given information we can write;
h + n = 1.1 ….(a)
and also
h = 1 + n ……(b)
Therefore from (a) and (b) we can write;
1 + n + n = 1.1
Solving the equation we get;
2n = 0.1
Hence;
n = 0.05
From (b)
h = 1 + 0.05 = 1.05
Therefor;
Price of Nail = 0.05
Price of Hammer = 1.05
Thank you – this was the easiest to understand explanation of this question that I have found.