32. On February 16, 2016, $1 USD = 113.90 yen, and £1 GBP = 162.71 yen. What was the value of $1 in British pounds?
Answer: A
$1 USD is equivalent to 0.7 GBP.
To find the value of $1 in British pounds, we can use the given exchange rates. Since $1 is equal to 113.90 yen and £1 is equal to 162.71 yen, we can determine the conversion by dividing the yen value of $1 by the yen value of £1, resulting in approximately 0.7 GBP.
A) 0.7
This option is correct because when you convert the exchange rates, you find that $1 USD equals 113.90 yen, and with £1 GBP equaling 162.71 yen, the calculation 113.90 / 162.71 yields approximately 0.7 GBP.
B) 0.9
This option is incorrect. If $1 were equal to 0.9 GBP, then the yen equivalent would be 0.9 * 162.71, which equals approximately 146.44 yen. This value is greater than the given 113.90 yen for $1, making this option impossible.
C) 1.2
This choice is also incorrect. A conversion of $1 to 1.2 GBP would imply that it is equivalent to 1.2 * 162.71 yen, which equals approximately 195.25 yen. Since this value exceeds the 113.90 yen for $1, it cannot be correct.
D) 1.4
This option is incorrect as well. If $1 were equal to 1.4 GBP, the calculation would result in 1.4 * 162.71 yen, which equals approximately 227.80 yen. This is significantly higher than the 113.90 yen for $1, thus making this option invalid.
Conclusion
The correct answer, 0.7 GBP, is derived directly from the conversion of the given exchange rates. All other options fail since they produce yen values that are inconsistent with the actual yen value of $1. Therefore, 0.7 GBP is the only viable and mathematically accurate conversion from the provided data.