Question at position 5 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? 4MA68$30 $2.50$36 $3.60 $25单项选择题
A
$30
B
$2.50
C
$36
D
$3.60
E
$25

Question

Question at position 5 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? 4MA68$30 $2.50$36 $3.60 $25单项选择题

A

$30

B

$2.50

C

$36

D

$3.60

E

$25

BlackTom AI · Accepted Answer

With an exchange rate of 1.2 euros per United States dollar, 1 USD = 1.2 EUR. To find the dollar cost of a 30-euro meal, convert euros into dollars by using that relationship.

1. Relevant knowledge points and concepts
- An exchange rate stated as "1.2 euros per US dollar" means one US dollar buys 1.2 euros.
- To convert from euros to dollars, either divide the euro amount by (euros per dollar) or multiply by the reciprocal (dollars per euro).
- Reciprocal: dollars per euro = 1 / (euros per dollar).

2. Complete reasoning, step by step
- Given: 1 USD = 1.2 EUR, and meal costs 30 EUR.
- Compute dollars per euro: 1 / 1.2 = 0.833333... USD per EUR.
- Convert: dollars = euros × (USD per EUR) = 30 × 0.833333...
- Alternatively, divide euros by the exchange rate: dollars = 30 / 1.2.

3. Calculations with intermediate steps
- 1 / 1.2 = 0.833333... (repeating)
- 30 × 0.833333... = 25.0
- Or: 30 / 1.2 = 300 / 12 = 25
- Check: 25 × 1.2 = 30 EUR, so conversion is consistent.

4. Why the correct answer is correct
- Because one dollar buys 1.2 euros, a euro is worth less than one dollar in USD terms; converting 30 euros back to dollars requires dividing by 1.2, yielding $25. The arithmetic and reciprocal logic both produce $25.

5. Why the other options are incorrect
- $30 assumes no conversion (1 EUR = 1 USD), which contradicts the given rate.
- $36 comes from mistakenly multiplying 30 × 1.2 (treating 1 EUR = 1.2 USD), the reciprocal error.
- $2.50 and $3.60 are decimal/miscalculation errors and do not follow the correct division or reciprocal multiplication.

6. Conclusion
- The correct dollar cost for a 30-euro meal at 1.2 euros per USD is $25, which matches the provided answer.

Question at position 5 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? 4MA68$30 $2.50$36 $3.60 $25单项选择题

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Question at position 5 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? 4MA68$30 $2.50$36 $3.60 $25单项选择题

类似问题

Based on the information provided, one Canadian dollar is equal to _____ Mexican pesos and _____ Indian rupees. Table: Exchange Rates Across Currencies [table] Country | Price per US dollar (January 1, 2006) Canada | CA$1.2 Japan | 120 yen Mexico | 12 pesos India | 45 rupees [/table]

The exchange rate is 1.16 Swiss francs per dollar. How many U.S. dollars are needed to purchase 3,500 Swiss francs?

If US$1 = Yen145.59 (USD/JPY) and US$1 = Mexican Peso 22.54 (USD/MXN), how many Yen would be equivalent to 1 Mexican Peso (MXN/JPY)?

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$25

If the exchange rate is 80 yen per dollar, then a hotel room in Tokyo that costs 25,000 yen costs $200.

A pair of earrings costs £40 in Britain. An identical pair costs $50 in the United States when the exchange rate is £1 = $1.50. Which statement is correct (all else being equal)?

If one U.S. dollar equals 5.76 Egyptian pounds and one U.S. dollar equals 0.56 British pounds, how many Egyptian pounds equals one British pound? A) 10.29 Egyptian pounds B) 0.097 Egyptian pounds C) 5.200 Egyptian pounds D) 3.226 Egyptian pounds

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Based on the information provided, one Canadian dollar is equal to _ Mexican pesos and _ Indian rupees. Table: Exchange Rates Across Currencies [table] Country | Price per US dollar (January 1, 2006) Canada | CA$1.2 Japan | 120 yen Mexico | 12 pesos India | 45 rupees [/table]