Math Problem Statement

It is given that 78 British Pounds (GBP) can be exchanged for 100 United States Dollars (USD). Find the exchange rate from USD to GBP.

Solution

To find the exchange rate from USD to GBP, we start with the given information:

  • 78 GBP = 100 USD

We need to calculate how many British Pounds (GBP) correspond to 1 United States Dollar (USD). To do this, we divide both sides of the equation by 100 (the amount of USD).

78GBP100USD=xGBP1USD\frac{78 \, \text{GBP}}{100 \, \text{USD}} = \frac{x \, \text{GBP}}{1 \, \text{USD}}

Simplifying:

x=78100=0.78GBP per USDx = \frac{78}{100} = 0.78 \, \text{GBP per USD}

Thus, the exchange rate from USD to GBP is 0.78 GBP per USD.

Would you like more details on how currency exchange rates work, or any clarifications on the steps?

Here are 5 related questions for practice:

  1. If 50 USD is exchanged, how many GBP will you receive?
  2. If the exchange rate changes to 0.80 GBP per USD, how many USD would 78 GBP convert to?
  3. How many USD would you need to exchange to receive 156 GBP?
  4. How can you convert GBP to USD if you know the USD to GBP exchange rate?
  5. How do exchange rates fluctuate in the foreign exchange market?

Tip: Always divide by the given currency to find the exchange rate to 1 unit of another currency.

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Math Problem Analysis

Mathematical Concepts

Ratios
Proportions
Currency Exchange

Formulas

x = 78 / 100 = 0.78 GBP per USD

Theorems

Direct Proportion

Suitable Grade Level

Grades 6-8