97.9k views
3 votes
You bought a hammer and a nail for $1.10. The hammer cost one dollar more than the nail. How much did the nail cost?

User Lit
by
7.7k points

1 Answer

3 votes

Final answer:

The nail cost 5 cents, and the hammer cost $1.05 since it is one dollar more expensive than the nail. The correct equation to use is x + (x + $1.00) = $1.10, where x represents the cost of the nail.

Step-by-step explanation:

To solve the problem where you bought a hammer and a nail for $1.10, and the hammer costs one dollar more than the nail, we need to set up an equation. Let's denote the cost of the nail as x dollars. The cost of the hammer would therefore be x + $1.00 (one dollar more than the nail). According to the problem, the total cost is $1.10, which gives us the following equation:

x + (x + $1.00) = $1.10

Simplifying the equation, we combine like terms:

2x + $1.00 = $1.10

Subtract $1.00 from both sides of the equation to isolate the terms with x:

2x = $0.10

Finally, divide both sides by 2 to solve for x:

x = $0.05

So, the nail cost 5 cents, and the hammer cost $1.05 since it costs one dollar more than the nail.

User Aaron England
by
9.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.