Home / iGCSE Mathematics (0580) : C1.15 Calculate using money and convert from one currency to another. iGCSE Style Questions Paper 1

iGCSE Mathematics (0580) : C1.15 Calculate using money and convert from one currency to another. iGCSE Style Questions Paper 1

Question

The train fare from Bangkok to Chiang Mai is 768 baht.
The exchange rate is £1 = 48 baht.
Calculate the train fare in pounds (£).

▶️Answer/Explanation

To calculate the train fare from Bangkok to Chiang Mai in pounds (£), we need to divide the fare in baht by the exchange rate of £1 = 48 baht.
Train fare in baht: 768 baht
Exchange rate: £1 = 48 baht
Train fare in pounds (£) = 768 baht / 48 baht per £1 = £16
Therefore, the train fare from Bangkok to Chiang Mai is £16.

Question

One bracelet costs 85 cents and one necklace costs $7.50 .
Write down an expression, in dollars, for the total cost of b bracelets and n necklaces.

▶️Answer/Explanation

The expression, in dollars, for the total cost of b bracelets and n necklaces can be written as:
Total cost \(= (85 cents\times b) + ($7.50\times n)\)
To convert the cost to dollars, we need to divide the total cost by 100 cents per dollar:
Total cost in dollars\( =\frac{85b+$7.50n}{100}\)
Therefore, the expression for the total cost of b bracelets and n necklaces, in dollars, is:
Total cost in dollars\( =\frac{0.85b+7.50n}{100}\)
This can be simplified as:
Total cost in dollars\(=\frac{85b+750n}{100}\)

 

Question

Gregor changes \($700\) into euros  when the rate is \(1 euro= $1.4131 .\)
Calculate the amount he receives.

▶️Answer/Explanation

Given that 1 euro is equal to $1.4131, we can use this exchange rate to convert $700 to euros:
Amount in euros = Amount in dollars × Exchange rate
Amount in euros\( = $700 \times1 euro/$1.4131\)
Amount in euros ≈\( $495.36\)
Therefore, Gregor would receive approximately €495.36 when he exchanges\( $700\) at the given exchange rate.

Question

Martina Changed 200 Swiss francs (CHF) into euros (€).
The exchange rate was €1 = 1.14 CHF.
Calculate how much Martina received.
Give your answer correct to the nearest euro.

▶️Answer/Explanation

Given that €1 is equal to 1.14 CHF, we can use this exchange rate to convert 200 CHF to euros:
Amount in euros = Amount in CHF / Exchange rate
Amount in euros\(=\frac{200}{1.14}\)
Amount in euros ≈ 175.44 euros
Therefore, Martina received approximately €175.44 when she exchanged 200 Swiss francs at the given exchange rate. Rounded to the nearest euro, she received €175.

Question

On a ship, the price of a gift is 24 euros  or \($30.\)
What is the difference in the price on a day when the exchange rate is \(1 euro = $1.2378?\)
Give your answer in dollars, correct to the nearest cent.

▶️Answer/Explanation

Given that the price of the gift is 24 euros, we can use the exchange rate to convert it to dollars:
Price in dollars = Price in euros × Exchange rate
Price in dollars = \(24 euros \times $1.2378/euro\)
Price in dollars =\( $29.7072\)
Rounded to the nearest cent, the price in dollars is approximately \($29.71.\)
Difference in price =\( $30 – $29.71\)
Difference in price ≈ \($0.29\)
Therefore, the difference in price between euros and dollars, when the exchange rate is 1 euro = \($1.2378\), is approximately \($0.29.\)

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