Calculate the Price of Furniture with a 150% Markup: Determining Table and Chair Costs

To solve this problem, let's follow these steps:

• Step 1: Define the variables. Assume the price of a chair is $C$ dollars.

• Step 2: Determine the price increase for the table. Since the table's price is 150% greater than the chair's, calculate 150% of $C$, given by $1.5 \times C$.

• Step 3: Compute the table's price. The price $T$ of the table is the sum of the chair's price and the calculated increase: $T = C + 1.5 \times C$.

• Step 4: Simplify the expression. This results in $T = 2.5 \times C$.

Now, substituting values from the given options (since $T = 2.5 \times C$) reveals the following key information:

For option 3, with Chair at 100\ \), assuming Chair's price to be $C = 100$:
$T = 2.5 \times 100 = 250$.

Verification shows a chair price of 100\ \) and table price of 250\ \) as per our calculations. This matches our established equation, confirming it as the correct choice where a chair costs 100\ \) and a table costs 250\ \).

Thus, the individual prices are $C = 100 \ \text{dollars and} \ T = 250 \ \text{dollars}$, which aligns with option 3 in given choices.