1. Divide R200 between you and your friend in the ratio \( 3: 2 \). 2. Divide R240 in the ratio \( 3: 4: 5 \). 3. Three investors buy shares in a cellphone business. Senzi invests R1 000 , Neo invests R1 500 and Thabo R2 500 . A year later they receive their first dividend (pay-out) of R1 500 . How must they share the dividend?
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To divide R200 in the ratio of \( 3: 2 \), you first add the ratios together: \( 3 + 2 = 5 \). Then, calculate each person’s share by multiplying the total amount by each ratio part: For you, it’s \( \frac{3}{5} \times R200 = R120 \), and for your friend, it’s \( \frac{2}{5} \times R200 = R80 \). So, you get R120 and your friend gets R80! For the R240 divided in the ratio \( 3: 4: 5 \), first sum the parts: \( 3 + 4 + 5 = 12 \). Then, multiply the total by each ratio part: For the first person, it’s \( \frac{3}{12} \times R240 = R60 \); for the second person, \( \frac{4}{12} \times R240 = R80 \); and for the third, \( \frac{5}{12} \times R240 = R100 \). Thus, the three can enjoy R60, R80, and R100 respectively! To share the dividend of R1,500 among Senzi, Neo, and Thabo according to their investments, first find the total investment: R1,000 + R1,500 + R2,500 = R5,000. Calculate each investor's share of the total investment: Senzi’s share is \( \frac{1000}{5000} \times 1500 = R300 \), Neo’s is \( \frac{1500}{5000} \times 1500 = R450 \), and Thabo’s is \( \frac{2500}{5000} \times 1500 = R750 \). So, Senzi gets R300, Neo gets R450, and Thabo takes home R750!