A tourist converted 1700 US dollars into Kenya Shillings at some rate. While in Kenya, she spends 76\% of her Shillings. At the same time (while she is in Kenya) the rate decreases by 15\% (she has to pay 15\% fewer Shillings for each dollar). When she heads back she exchanges her leftover shillings to dollars. How many dollars does she get?.
Question
A tourist converted 1700 US dollars into Kenya Shillings at some rate. While in Kenya, she spends 76% of her Shillings. At the same time (while she is in Kenya) the rate decreases by 15% (she has to pay 15% fewer Shillings for each dollar). When she heads back she exchanges her leftover shillings to dollars. How many dollars does she get?.
Solution
To solve this problem, we need to follow these steps:
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First, we need to find out how much the tourist spent in Kenya. She spent 76% of her Shillings, so she has 24% left. We calculate this by multiplying 1700 by 0.24. The result is 408.
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Then, we need to consider the change in the exchange rate. The rate decreased by 15%, which means the new rate is 85% of the original rate. We can represent this as 0.85.
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Finally, we need to calculate how many dollars she gets when she exchanges her leftover Shillings at the new rate. We do this by dividing the amount of leftover Shillings (408) by the new rate (0.85). The result is approximately 480 dollars.
So, the tourist gets around 480 dollars when she exchanges her leftover Shillings at the decreased rate.
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