Question

The cost of two tables and three chairs is $\$240$. If the cost of a table is $50\%$ more than the cost of a chair, then find the costs of one table and one chair.

• A. $\$75,\$50$
• B. $\$90,\$60$
• C. $\$45,\$30$
• D. $\$60,\$40$

Answer 1

The correct option is D $\$60,\$40$

The cost of a table is $50\%$ more than the cost of a chair.

Let us assume the cost of the chair to be $x$.

Then the cost of the table $=x+50\%\text{of}x=x+\frac{50}{100}\times x=x+0.5x=1.5x$.

The cost of $3\text{chairs}=3\times x=3x$ and the cost of $2\text{tables}=2\times 1.5x=3x$.

The total cost of $2\text{tables and}3\text{chairs}=\$240$

Therefore,

$3x+3x=240$

$\Rightarrow 6x=240$

$\Rightarrow x=\frac{240}{6}$

$\Rightarrow x=\$40$

Hence, $1.5x=1.5\times 40=\$60$

Therefore, the cost of each chair is $\$40$ and that of each table is $\$60$.