Question

Three partners Luc, Deborah and Melanie, share the profits of a business. The (4) profit for the year is R176 496. If Luc receives R29 416 and Melanie receives a R102 956, determine the ratio in which the profit was shared.​

Answer 1

2: 7: 3 (Luc: Melanie: Deborah)

Explanation:

What is a ratio?

A ratio has two or more numbers that symbolize relation to each other. Ratios are used to compare numbers, and you can compare them using division.

To solve for how much Deborah gets, we can use these equations:

• 102,956 + 29,416 = 132,372

• 176,496 - 132,372 = 44,124

So, Luc gets 29,416, Melanie receives 102,956 and Deborah gets 44,124.

(29,416: 102,956: 44,124)

Now, we can simplify this ratio.

• 29,416 ÷ 14708 = 2

• 102,956 ÷ 14708 = 7

• 44,124 ÷ 14708 = 3

Therefore, the ratio (Luc: Melanie: Deborah) is 2: 7: 3.