A charity carnival raised funds from food, games, and book stalls, \( 30 \% \) of the amount was from the sale of food. \( 25 \% \) of the remaining amount was from the sale of books. \( \$ 2,100 \) was collected from the game stalls. Find the total amount of money raised by the carnival.

Let's break it down step by step! Let the total amount raised by the carnival be \( x \). According to the problem, \( 30\% \) of \( x \) was from food sales: \[ \text{Amount from food} = 0.30x \] The remaining amount after food sales is: \[ \text{Remaining amount} = x - 0.30x = 0.70x \] From this remaining amount, \( 25\% \) was from book sales: \[ \text{Amount from books} = 0.25 \times 0.70x = 0.175x \] We also know that the amount collected from game stalls is \( \$2100 \). Thus, we can express the total amount raised as: \[ \text{Total} = \text{Amount from food} + \text{Amount from books} + \text{Amount from games} \] This can be written as: \[ x = 0.30x + 0.175x + 2100 \] Now, combining the terms involving \( x \): \[ x = 0.475x + 2100 \] Subtract \( 0.475x \) from both sides: \[ x - 0.475x = 2100 \] \[ 0.525x = 2100 \] Now, divide both sides by \( 0.525 \): \[ x = \frac{2100}{0.525} \approx 4000 \] So, the total amount of money raised by the carnival is approximately \( \$4000 \). 🎉