A tourist converted 1840 US dollars into Kenya Shillings at some rate. While in Kenya, she spends 39\% of her Shillings. At the same time (while she is in Kenya) the rate decreases by 8\% (she has to pay 8\% 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 1840 US dollars into Kenya Shillings at some rate. While in Kenya, she spends 39% of her Shillings. At the same time (while she is in Kenya) the rate decreases by 8% (she has to pay 8% 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 39% of her Shillings, so she spent 0.39 * 1840 = 717.6 Shillings.
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Then, we need to find out how much she had left. She started with 1840 Shillings and spent 717.6, so she had 1840 - 717.6 = 1122.4 Shillings left.
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Now, we need to find out how much the exchange rate decreased. It decreased by 8%, so the new rate is 1 - 0.08 = 0.92 times the old rate.
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Finally, we need to find out how many dollars she gets when she exchanges her leftover Shillings at the new rate. She has 1122.4 Shillings and the new rate is 0.92 times the old rate, so she gets 1122.4 * 0.92 = 1032.608 dollars.
So, the tourist gets approximately 1032.61 dollars when she exchanges her leftover Shillings at the new rate.
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