Question at position 4 The exchange rate is 1.2 euros per United States dollar. If a restaurant meal costs 30 euros in Paris, France, what is its dollar cost to a United States tourist? $2.50$30$36$3.60$25Single choice
A
$2.50
B
$30
C
$36
D
$3.60
E
$25

Question

Question at position 4 The exchange rate is 1.2 euros per United States dollar. If a restaurant meal costs 30 euros in Paris, France, what is its dollar cost to a United States tourist? $2.50$30$36$3.60$25Single choice

A

$2.50

B

$30

C

$36

D

$3.60

E

$25

BlackTom AI · Accepted Answer

Because 1 USD = 1.2 EUR, each euro is worth 1/1.2 USD (about 0.8333 USD). Converting euros to dollars requires using the reciprocal of the given "euros per dollar" rate.

1. Relevant knowledge points and concepts
- Exchange rates express how many units of one currency equal one unit of another. Here the rate is given as 1.2 euros per U.S. dollar (1 USD = 1.2 EUR).
- To convert from euros to dollars, invert the rate (dollars per euro = 1 / (euros per dollar)).
- Unit consistency: always track which currency is numerator/denominator to avoid multiplying or dividing in the wrong direction.

2. Step-by-step reasoning process
- Start with: 1 USD = 1.2 EUR.
- Therefore 1 EUR = 1 / 1.2 USD.
- Multiply the euro price by dollars per euro to get the dollar cost.

3. Calculations with intermediate steps
- Compute dollars per euro: 1 / 1.2 = 0.833333... (repeating).
- Multiply by the meal price in euros: 30 EUR × 0.833333... USD/EUR = 30 / 1.2 USD.
- 30 / 1.2 = (30 × 10) / 12 = 300 / 12 = 25.
- Result: 25 USD.

4. Why the correct answer is correct
- The conversion used the correct inversion of the quoted rate. Since one dollar buys 1.2 euros, each euro is worth less than one dollar (0.8333 USD), so 30 euros convert to 30 × 0.8333 = 25 USD.

5. Why the other options are incorrect
- $2.50: off by a factor of 10 (decimal misplaced).
- $30: assumes 1 EUR = 1 USD (no conversion applied).
- $36: comes from incorrectly multiplying 30 × 1.2 (treating the rate as euros per euro or applying the wrong direction).
- $3.60: another decimal/miscalculation error.

6. Conclusion
The correct converted price is $25, which matches the provided answer.

Question at position 4 The exchange rate is 1.2 euros per United States dollar. If a restaurant meal costs 30 euros in Paris, France, what is its dollar cost to a United States tourist? $2.50$30$36$3.60$25Single choice

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