Pregunta
Lauren goes to the exhibition. She purchased some woodech antiques for \( \$ 70 \). She purchases a table for \( \$ 44 \) and 2 chairs. Each of the chairs costs he same price. Write an equation representing the cost of the antiques and determine the price of one chair.
Ask by Hart Bolton. in the United States
Mar 12,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The price of one chair is \$13.
Solución
**Step 1: Define the variable**
Let \( x \) be the cost of one chair.
**Step 2: Write the equation**
The total cost for the antiques is given by the sum of the cost of a table and the cost of 2 chairs. Thus, the equation is:
\[
44 + 2x = 70
\]
**Step 3: Solve the equation**
Subtract \( 44 \) from both sides:
\[
2x = 70 - 44 = 26
\]
Divide both sides by 2:
\[
x = \frac{26}{2} = 13
\]
**Answer**
The price of one chair is \(\$13\).
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Bonus Knowledge
Let's represent the price of one chair as \( x \). The total cost for the table and the chairs can be expressed as follows: The equation representing the total cost is: \( 70 = 44 + 2x \). Now, subtract \( 44 \) from both sides: \( 70 - 44 = 2x \). This simplifies to: \( 26 = 2x \). Next, divide both sides by \( 2 \): \( x = 13 \). So, the price of one chair is \( \$ 13 \)!

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