A tourist exchanged 5000 Euros to Kenyan Shillings (Ksh). She then spent 321,200 Ksh. She then exchanged the remaining Ksh to UAE Dirhams. How many UAE Dirhams did she receive? (Use the following rate

The tourist is selling Euros to the bureau, so the bureau is buying Euros. We use the "Buying in Ksh" rate for Euros.

$$\text{Amount in Ksh} = \text{Amount in Euros} \times \text{Buying rate for Euro}$$ $$\text{Amount in Ksh} = 5000 \text{ Euros} \times 129.80 \text{ Ksh/Euro}$$ $$\text{Amount in Ksh} = 649000 \text{ Ksh}$$

$$\text{Remaining Ksh} = \text{Total Ksh} - \text{Ksh spent}$$ $$\text{Remaining Ksh} = 649000 \text{ Ksh} - 321200 \text{ Ksh}$$ $$\text{Remaining Ksh} = 327800 \text{ Ksh}$$

The tourist is buying UAE Dirhams from the bureau, so the bureau is selling UAE Dirhams. We use the "Selling in Ksh" rate for UAE Dirhams.

$$\text{Amount in UAE Dirhams} = \frac{\text{Remaining Ksh}}{\text{Selling rate for UAE Dirhams}}$$ $$\text{Amount in UAE Dirhams} = \frac{327800 \text{ Ksh}}{29.80 \text{ Ksh/Dirham}}$$ $$\text{Amount in UAE Dirhams} = 11000 \text{ UAE Dirhams}$$

The amount in UAE Dirhams that she received is $\text{11000 UAE Dirhams}$.