7. A Kenyan tourist left Germany for Kenya through Switzerland. While in Switzerland, he bought a watch worth 52 Deutsche marks. The exchange rate was as follows: 1 Swiss France = 1.28 Deutsche Mark 1 Swiss France = 45.21 Kenya Shillings Find the value of the watch in Kenya Shillings.
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To find the value of the watch in Kenya Shillings, we first need to convert the cost of the watch from Deutsche Marks to Swiss Francs. The cost of the watch is 52 Deutsche Marks. Using the exchange rate of 1 Swiss Franc = 1.28 Deutsche Marks, we can calculate the cost in Swiss Francs: \[ \text{Cost in Swiss Francs} = \frac{52 \text{ Deutsche Marks}}{1.28 \text{ Deutsche Marks/Swiss Franc}} \approx 40.625 \text{ Swiss Francs} \] Next, we convert Swiss Francs to Kenya Shillings. Using the exchange rate of 1 Swiss Franc = 45.21 Kenya Shillings: \[ \text{Cost in Kenya Shillings} = 40.625 \text{ Swiss Francs} \times 45.21 \text{ Kenya Shillings/Swiss Franc} \approx 1,833.28 \text{ Kenya Shillings} \] Thus, the value of the watch in Kenya Shillings is approximately 1,833.28 KSh.