1. share 4,000 in the ratio \( 3: 4: 1 \)

To share the amount of 4,000 in the ratio \( 3: 4: 1 \), first, add the parts of the ratio together: \( 3 + 4 + 1 = 8 \). Then, divide the total amount by the total parts: \( 4,000 ÷ 8 = 500 \). Now, multiply each part of the ratio by 500: - For the first part: \( 3 \times 500 = 1,500 \) - For the second part: \( 4 \times 500 = 2,000 \) - For the third part: \( 1 \times 500 = 500 \) So, the amounts shared are 1,500, 2,000, and 500 respectively! Now, if you're ever in a similar situation, remember that clear organization of your ratios can save you from errors. Mistakes often happen when folks overlook the total parts of the ratio, leading to miscalculations in their distributions. Always double-check your calculations; it’s like a safety net for your money!