Maria and Anna shared a sum of money in the ratio 5:4. Maria’s share was N$ 672.50.

What was the original sum of money they shared?

Let's assume the total sum of money they shared as x.

The ratio between Maria and Anna's share is 5:4, so we can set up the equation:

5/4 = 672.50/x

To isolate x, we can cross multiply:

5x = 4 * 672.50

5x = 2690

Dividing both sides by 5:

x = 2690/5

x = 538

So, the original sum of money they shared was N$538.

To find the original sum of money they shared, we need to determine the total number of parts in the ratio 5:4.

Since the ratio is 5:4, the total number of parts is 5 + 4 = 9.

Next, we can find the value of one part by dividing Maria's share by her part of the ratio.
Maria's share is N$ 672.50, so one part is equal to N$ 672.50 / 5 = N$ 134.50.

Finally, we can find the original sum of money by multiplying the value of one part by the total number of parts in the ratio.
The original sum of money they shared is N$ 134.50 * 9 = N$ 1,210.