To answer the currency conversion questions, we need to use the appropriate exchange rates. The current rates are approximately:<\/p>\n\n\n\n
- \n
- 1 British Pound (GBP) = 1.27 USD<\/strong><\/li>\n\n\n\n
- 1 Japanese Yen (JPY) = 0.0067 USD<\/strong><\/li>\n\n\n\n
- 1 Euro (EUR) = 1.09 USD<\/strong><\/li>\n\n\n\n
- 1 Mexican Peso (MXN) = 0.055 USD<\/strong><\/li>\n<\/ul>\n\n\n\n
Let\u2019s break down each problem:<\/p>\n\n\n\n
1) Your dinner in London cost 82 British pounds. How much was it in U.S. dollars?<\/strong><\/h3>\n\n\n\n
To convert from GBP to USD:Amount in USD=82\u2009GBP\u00d71.27\u2009USD\/GBP\\text{Amount in USD} = 82 \\, \\text{GBP} \\times 1.27 \\, \\text{USD\/GBP}Amount in USD=82GBP\u00d71.27USD\/GBPAmount in USD=104.14\u2009USD\\text{Amount in USD} = 104.14 \\, \\text{USD}Amount in USD=104.14USD<\/p>\n\n\n\n
So, the dinner cost 104.14 USD<\/strong>.<\/p>\n\n\n\n
2) Your hotel rate in Tokyo is 45,000 yen per night. What is the nightly rate in U.S. dollars?<\/strong><\/h3>\n\n\n\n
To convert from JPY to USD:Amount in USD=45,000\u2009JPY\u00d70.0067\u2009USD\/JPY\\text{Amount in USD} = 45,000 \\, \\text{JPY} \\times 0.0067 \\, \\text{USD\/JPY}Amount in USD=45,000JPY\u00d70.0067USD\/JPYAmount in USD=301.50\u2009USD\\text{Amount in USD} = 301.50 \\, \\text{USD}Amount in USD=301.50USD<\/p>\n\n\n\n
So, the hotel rate is 301.50 USD<\/strong> per night.<\/p>\n\n\n\n
3) As you leave Paris, you convert 320 euros to dollars. How many dollars do you receive?<\/strong><\/h3>\n\n\n\n
To convert from EUR to USD:Amount in USD=320\u2009EUR\u00d71.09\u2009USD\/EUR\\text{Amount in USD} = 320 \\, \\text{EUR} \\times 1.09 \\, \\text{USD\/EUR}Amount in USD=320EUR\u00d71.09USD\/EURAmount in USD=348.80\u2009USD\\text{Amount in USD} = 348.80 \\, \\text{USD}Amount in USD=348.80USD<\/p>\n\n\n\n
So, you will receive 348.80 USD<\/strong>.<\/p>\n\n\n\n
4) You return from Mexico with 2500 pesos. How much are they worth in U.S. dollars?<\/strong><\/h3>\n\n\n\n
To convert from MXN to USD:Amount in USD=2500\u2009MXN\u00d70.055\u2009USD\/MXN\\text{Amount in USD} = 2500 \\, \\text{MXN} \\times 0.055 \\, \\text{USD\/MXN}Amount in USD=2500MXN\u00d70.055USD\/MXNAmount in USD=137.50\u2009USD\\text{Amount in USD} = 137.50 \\, \\text{USD}Amount in USD=137.50USD<\/p>\n\n\n\n
So, 2500 pesos are worth 137.50 USD<\/strong>.<\/p>\n\n\n\n
5) Gasoline sells for 1.5 euros\/liter in Bonn. What is the price in U.S. dollars per gallon? (1 gal = 3.785 L)<\/strong><\/h3>\n\n\n\n
To convert from EUR to USD and then to gallons:Price in USD per liter=1.5\u2009EUR\u00d71.09\u2009USD\/EUR\\text{Price in USD per liter} = 1.5 \\, \\text{EUR} \\times 1.09 \\, \\text{USD\/EUR}Price in USD per liter=1.5EUR\u00d71.09USD\/EURPrice in USD per liter=1.635\u2009USD\/liter\\text{Price in USD per liter} = 1.635 \\, \\text{USD\/liter}Price in USD per liter=1.635USD\/liter<\/p>\n\n\n\n
Now, convert from liters to gallons:Price in USD per gallon=1.635\u2009USD\/liter\u00d73.785\u2009L\/gal\\text{Price in USD per gallon} = 1.635 \\, \\text{USD\/liter} \\times 3.785 \\, \\text{L\/gal}Price in USD per gallon=1.635USD\/liter\u00d73.785L\/galPrice in USD per gallon=6.18\u2009USD\/gal\\text{Price in USD per gallon} = 6.18 \\, \\text{USD\/gal}Price in USD per gallon=6.18USD\/gal<\/p>\n\n\n\n
So, gasoline costs 6.18 USD per gallon<\/strong>.<\/p>\n\n\n\n
6) You purchase fresh strawberries in Mexico for 28 pesos per kilogram. What is the price in U.S. dollars per pound? (1 kg = 2.205 lb)<\/strong><\/h3>\n\n\n\n
To convert from MXN to USD and then to pounds:Price in USD per kg=28\u2009MXN\u00d70.055\u2009USD\/MXN\\text{Price in USD per kg} = 28 \\, \\text{MXN} \\times 0.055 \\, \\text{USD\/MXN}Price in USD per kg=28MXN\u00d70.055USD\/MXNPrice in USD per kg=1.54\u2009USD\/kg\\text{Price in USD per kg} = 1.54 \\, \\text{USD\/kg}Price in USD per kg=1.54USD\/kg<\/p>\n\n\n\n
Now, convert from kilograms to pounds:Price in USD per pound=1.54\u2009USD\/kg2.205\u2009lb\/kg\\text{Price in USD per pound} = \\frac{1.54 \\, \\text{USD\/kg}}{2.205 \\, \\text{lb\/kg}}Price in USD per pound=2.205lb\/kg1.54USD\/kg\u200bPrice in USD per pound=0.70\u2009USD\/lb\\text{Price in USD per pound} = 0.70 \\, \\text{USD\/lb}Price in USD per pound=0.70USD\/lb<\/p>\n\n\n\n
So, strawberries cost 0.70 USD per pound<\/strong>.<\/p>\n\n\n\n
Summary:<\/h3>\n\n\n\n
- \n
- Dinner in London: 104.14 USD<\/li>\n\n\n\n
- Hotel in Tokyo: 301.50 USD<\/li>\n\n\n\n
- Conversion from Paris: 348.80 USD<\/li>\n\n\n\n
- 2500 pesos: 137.50 USD<\/li>\n\n\n\n
- Gasoline in Bonn: 6.18 USD per gallon<\/li>\n\n\n\n
- Fresh strawberries in Mexico: 0.70 USD per pound<\/li>\n<\/ol>\n\n\n\n
These conversions are approximations based on the exchange rates provided.<\/p>\n\n\n\n
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- 1 Japanese Yen (JPY) = 0.0067 USD<\/strong><\/li>\n\n\n\n