The smallest amount that Caleb could have converted will be £ 59.
We are given that:
At shop A, Gavin converted £ 30 into € 36.60
At shop B, Amna converted £ 73 into € 86.14
Also, Caleb converted some pounds and got € 71.98.
Rate of conversion at shop A is:
£ 30 = € 36.60
£ 1 = € 36.60 / 30
£ 1 = € 1.22
rate of conversion at shop B is:
£ 73 = € 86.14
£ 1 = € 86.14 / 73
£ 1 = € 1.18
Now, we can see that the rate of conversion is more at shop A.
So, the smallest amount that Caleb might have converted will be:
Pounds = € 71.98 / € 1.22
Pounds = £ 59
Therefore, the smallest amount that Caleb could have converted will be £ 59.
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