Geometry 6.1 Worksheet Proportions Name_____________________________ 1. Solve each proportion using cross products. a) b) 1 6  x x  15 3 x  5 15 x = _______ e) x  1 x 1  6 10 x = _______ c) x = _______ f) 3 9  4 x7 x = _______ d) 20  x 6  x 4 x = _______ g) x 9 2  x 5 x = _______ 4 x2  12 2 x  13 x = _______ h) x 4  5 16 x = _______ 2. Solve the following problems. (Show work) a) The ratio of seniors to juniors in the Chess Club is 2:3. If there are 24 juniors, how many seniors are in the club? b) A 15 foot building casts a 9 foot shadow. How tall is the building that casts a 30 ft shadow at the same time? c) A picture is 3 in. wide by 5 in. high was enlarged so that the width was 15 inches. How high is the enlarged picture? d) Cameron has been eating 2 burgers every week . At that rate, how many hamburgers will he in 4 weeks? e) A triangle’s three angles are in the ratio of 5:7:8. What is the measure of the smallest angle? f) A 6 foot high school boy casts a shadow of 24 inches. At the same time of day a girl at the elementary school park casts a shadow of 14 inches. How tall is she (in feet)? Ratios, Proportions and Currency. One of the most applicable places where we find the use of ratios and proportions in the ‘Real World’ is in the exchanging of currency. If you have ever travelled to a foreign country you have obviously experienced currency exchanges. Currency has different values and $100 USD (United States Dollars) is not worth 100 Mexican Pecos or 100 Euros – currencies exchange at a given ratio which fluctuates daily. In the table below each currency is being compared to 1 USD. The chart below shows some countries and how they compare with our currency. The below table is from Sept. 27th, 2013. A stronger currency to USD has a lower value than 1. A weaker currency to the USD has a higher value than 1. A equal currency to the USD has an equal value of 1. DZD AOA ARS AMD AUD BZD BWP BRL GBP BGN MMK KHR CAD CLP CNY COP CRC HRK CUP CZK DKK DOP ANG EGP AED ETB EUR XAU GTQ HTG HUF Algerian Dinar Angolan Kwanza Argentine Peso Armenian Dram Australian Dollar Belizean Dollar Botswana Pula Brazilian Real British Pound Bulgarian Lev Burmese Kyat Cambodian Riel Canadian Dollar Chilean Peso Chinese Yuan Renminbi Colombian Peso Costa Rican Colon Croatian Kuna Cuban Peso Czech Koruna Danish Krone Dominican Peso Dutch Guilder Egyptian Pound Emirati Dirham Ethiopian Birr Euro Gold Ounce Guatemalan Quetzal Haitian Gourde Hungarian Forint 81.31999969 97.61935675 5.699999809 405.6186293 1.073306858 1.959800005 8.591065039 2.25165 0.619640113 1.444485 969 4077 1.03065 503.4200134 6.1192 1916 493.6499939 5.60529995 26.5 19.0166 5.5153 42.40000153 1.769799948 6.891699791 3.672800064 18.91553099 0.739535 0.000748335 7.933000088 43.40000153 220.981 (1 of ours is worth fewer of theirs.) (1 of ours is worth more of theirs.) (1 of ours is worth the same as theirs.) ISK INR IRR IQD ILS JPY KES KWD LBP LRD LTL MKD MXN NZD KPW OMR PKR PHP XPT QAR RUB SLL XAG KRW SEK CHF SYP TRY UYU VND ZMW Icelandic Krona Indian Rupee Iranian Rial Iraqi Dinar Israeli Shekel Japanese Yen Kenyan Shilling Kuwaiti Dinar Lebanese Pound Liberian Dollar Lithuanian Litas Macedonian Denar Mexican Peso New Zealand Dollar North Korean Won Omani Rial Pakistani Rupee Philippine Peso Platinum Ounce Qatari Riyal Russian Ruble Sierra Leonean Leone Silver Ounce South Korean Won Swedish Krona Swiss Franc Syrian Pound Turkish Lira Uruguayan Peso Vietnamese Dong Zambian Kwacha 121.15 62.5025 24791 1163.4 3.5567 98.245 86.55 0.2828 1510 78.2 2.55347 45.5 13.142 1.20766 127.17 0.385 105.55 43.37 0.0007 3.6403 32.335 4280 0.04588 1075.08 6.4351 0.90588 112.95 2.0306 21.65 21112 5.31 1. Do the following conversions. a) How many Euro’s is the same as $1000 US Dollars? b) How many USD is the same as $512 Canadian Dollars? c) If you have 25,000 Russian Rubles, how much USD would that be? d) If you have 1,000,000 Iranian Rial, how much USD would that be? e) If you have $4,500 USD, how much Swedish Krona would that be? f) If you have $100 Burmese Kyat, how much USD would that be ? g) If you have 125,833 Algerian Dinar, what would that be in Armenian Dram? h) If you had 1,400 Gold Ounces, how much USD would you have? 2. Fill in the lists STRONGEST CURRENCIES WEAKEST CURRENCIES 1. 2. 3. 1. 2. 3. Why do you think those three currencies are so strong? Why do you think those three currencies are so weak?