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

Question

BlackTom AI · Accepted Answer

We start by organizing the given exchange rates: 1 US dollar (USD) equals 5.76 Egyptian pounds (EGP), and 1 USD equals 0.56 British pounds (GBP).

To compare EGP and GBP directly, convert GBP back to USD first. If 1 USD = 0.56 GBP, then 1 GBP = 1 / 0.56 USD.

Compute 1 / 0.56: since 0.56 = 56/100 = 14/25, its reciprocal is 25/14, which equals approximately 1.785714... USD per GBP.

Now convert that USD amount to EGP using the USD-to-EGP rate. Since 1 USD = 5.76 EGP, multiply: 1.785714... USD × 5.76 EGP/USD.

Do the exact calculation using fractions for precision: (25/14) USD × (576/100) EGP/USD = (25 × 576) / (14 × 100) EGP = 14400 / 1400 EGP = 72 / 7 EGP.

Compute 72/7 as a decimal: 72 ÷ 7 = 10.285714..., which rounds to approximately 10.29 EGP.

Now evaluate each answer choice:

- Option A: 10.29 Egyptian pounds. This matches the calculated value when rounding to two decimal places, so it is consistent with the conversion steps.

- Option B: 0.097 Egyptian pounds. This is far too small given the rates; it would imply a much larger USD value per GBP than the data supports, which contradicts the step-by-step conversion.

- Option C: 5.200 Egyptian pounds. This would be close to the direct USD-to-EGP rate if GBP were about 0.9 USD, which is not the case here; the actual GBP value in USD is about 1.785, leading to a much larger EGP amount.

- Option D: 3.226 Egyptian pounds. This is also inconsistent with the derived 72/7 EGP per GBP; it undervalues the amount relative to the precise calculation.

In summary, by chaining the given exchange rates (USD to GBP and USD to EGP) and performing the exact fractional calculation, the GBP-to-EGP amount is 72/7 ≈ 10.29 EGP, making Option A the correct choice observed from the comparison.

ECON:3345:0001 Spr25 Quiz 7 Chs. 17, 18 & 19

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

View Explanation

Log in for full answers

Similar Questions

If a British pound equals 1837 South Korean won (the currency of South Korea), what is the British pound equivalent of a South Korean won? A) 0.54 British pounds B) 0.00054 British pounds C) 0.1837 British pounds D) 1.54 British pounds

Assume that a dollar exchange for 6 RMB. Suppose you are in China, and you see a laptop priced at 12,000 RMB. The dollar price for the Chinese laptop is approximately

If one Australian dollar is worth 0.25 U.S dollars, then one U.S dollar is worth how many Australian dollars?

Ann buys Spanish olives from Guillermo for 2.8 Euros/kilo. The exchange rate is $1 for 0.8 Euros. How many dollars per kilo does Ann pay for the olives?

Ann buys Spanish olives from Guillermo for 2.1 Euros/kilo. The exchange rate is $1 for 1.1 Euros. How many dollars per kilo does Ann pay for the olives?

Alofa from Sala'ilua buys a Harris tweed sport coat for £462 (£ are Manx pounds). 1 WS$ (Samoan tālā) = £0.31. How much WS$ will Alofa pay for his sport coat?

Guðrún has a cheese shop in Seydisfjordur and buys Manchego cheese from Paco in Galicia. Each 170-gram package of Manchego cheese costs Guðrún 7 € (euros). 1 € = 151 kr (Icelandic króna). If Guðrún buys 65 packages of cheese from Paco, how many kr will it cost her?

If a pound of coffee beans costs 85 pesos in Mexico City and 10 pesos = 35 rupees, then the same pound of coffee should cost ___ rupees in New Delhi, all other things equal.

More Practical Tools for Students Powered by AI Study Helper

Homework AI Solver

Stylized AI Paper Writer

Plagiarism Checker Assistant

Citation AI Academic Writing Tool

In-Class Translation Assistant

AI Note Generator

AI Quiz Answers

Past Exam Questions from University Test Bank

Smart Practice Assistant

Adaptive Practice

Making Your Study Simpler