Math  /  Word Problems

QuestionConvert 25,000 CAD to USD using the exchange rate of 1 USD = 1.329 CAD. Identify the two fractions for dimensional analysis.

Studdy Solution
Calculate the cost in USD.
CostinUSD=25,000CADtimes1USD1.329CAD=$18,815.35Cost\, in\, USD =25,000\, CAD \\times \frac{1\, USD}{1.329\, CAD} = \$18,815.35The cost of the Toronto automobile in U.S. dollars is \$18,815.35.
The two fractions that are multiplied together to calculate the solution using dimensional analysis are1. The cost of the car in CAD, which can be written as a fraction with a denominator of125,000CAD1\frac{25,000\, CAD}{1}2. The conversion factor from CAD to USD1USD1.329CAD\frac{1\, USD}{1.329\, CAD}These fractions cross-cancel the units of CAD, leaving the unit of USD, which is the desired unit for the answer.

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