Question

The furniture shop has an equal number of chairs and tables. After selling half of the numbers of tables and some chairs, they are left with 1/3 of the furniture. What fraction of the furniture sold are tables?

Answer 1

The fraction of the furniture sold that are tables is given by 1/2y / (1/3x + 1/3y)

Equation

Let

• number of chairs = x
• Number of tables = y

Number of tables and chairs sold = 1/2(x + y)

= 1/2x + 1/2y

• Fraction of chairs sold = 1/2x
• Fraction of tables sold = 1/2y

Furniture remaining = 1/3(x + y)

Fraction of tables sold = 1/2y ÷ 1/3(x + y)

= 1/2y ÷ 1/3x + 1/3y

= 1/2y × 1 / (1/3x + 1/3y)

= 1/2y / (1/3x + 1/3y)

Therefore, the fraction of the furniture sold that are tables is given by 1/2y / (1/3x + 1/3y)

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