penny is planning a trip to egypt. she has mapped out the expected costs of some different components of her trip, and has compiled them below, including whether the cost is in us dollars ($) or egyptian pounds (£).

| item | cost | currency |
| :--- | :--- | :--- |
| plane ticket | 3,241.77 | £ |
| passport | 65.00 | $ |
| tour guide | 494.25 | £ |
| international phone card | 41.38 | $ |
| hotel reservation | 398.26 | £ |
| car rental | 644.48 | £ |

if the exchange rate of the us dollar to egyptian pound is 1:5.3841, how much has penny currently budgeted for her trip, in us dollars? round all currencies to two decimal places.
a. $895.25
b. $993.95
c. $1,001.63
d. $1,468.01

Question

penny is planning a trip to egypt. she has mapped out the expected costs of some different components of her trip, and has compiled them below, including whether the cost is in us dollars ($) or egyptian pounds (£).

| item | cost | currency |
| :--- | :--- | :--- |
| plane ticket | 3,241.77 | £ |
| passport | 65.00 | $ |
| tour guide | 494.25 | £ |
| international phone card | 41.38 | $ |
| hotel reservation | 398.26 | £ |
| car rental | 644.48 | £ |

if the exchange rate of the us dollar to egyptian pound is 1:5.3841, how much has penny currently budgeted for her trip, in us dollars? round all currencies to two decimal places.
a. $895.25
b. $993.95
c. $1,001.63
d. $1,468.01

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Currency Conversion" ], "new_concepts": [], "current_concepts": [ "Currency Conversion", "Budget Calculation" ] } ## Sum the costs in US dollars Using the *Currency Conversion* knowledge point $$ \begin{aligned} \text{Passport} &= \$65.00 \ \text{International phone card} &= \$41.38 \ \text{Total in USD} &= 65.00 + 41.38 = \$106.38 \end{aligned} $$ ## Sum the costs in Egyptian pounds Using the *Currency Conversion* knowledge point $$ \begin{aligned} \text{Plane ticket} &= 3,241.77\text{ EGP} \ \text{Tour guide} &= 494.25\text{ EGP} \ \text{Hotel reservation} &= 398.26\text{ EGP} \ \text{Car rental} &= 644.48\text{ EGP} \ \text{Total in EGP} &= 3241.77 + 494.25 + 398.26 + 644.48 = 4,778.76\text{ EGP} \end{aligned} $$ ## Convert Egyptian pounds to US dollars Using the *Currency Conversion* knowledge point $$ \begin{aligned} \text{Exchange Rate} &= 1\text{ USD} : 5.3841\text{ EGP} \ \text{Converted EGP to USD} &= \frac{4778.76}{5.3841} \approx \$887.5689 \approx \$887.57 \end{aligned} $$ ## Calculate the total budget in US dollars Using the *Currency Conversion* knowledge point $$ \begin{aligned} \text{Total Budget} &= \text{Total in USD} + \text{Converted EGP to USD} \ \text{Total Budget} &= 106.38 + 887.57 = \$993.95 \end{aligned} $$

a. $895.25

b. $993.95

c. $1,001.63

d. $1,468.01

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Currency Conversion" ] }

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QUESTION IMAGE

Question

Explanation:

Sum the costs in US dollars

Sum the costs in Egyptian pounds

Convert Egyptian pounds to US dollars

Calculate the total budget in US dollars

Answer:

item	cost	currency
passport	65.00	$
tour guide	494.25	£
international phone card	41.38	$
hotel reservation	398.26	£
car rental	644.48	£