Question 12

The worth of an American quarter in terms of an English pound is 5/32.

An American quarter, which is worth 25 cents, translates to 5/32 of an English pound when considering that one dollar is worth 5/8 of a pound.

A) 5/16

This option suggests that the worth of an American quarter is equivalent to 5/16 of an English pound. However, since a dollar is valued at 5/8 of a pound, a quarter (which is one-fourth of a dollar) would not equate to this amount but rather a smaller fraction.

B) 5/48

While this option indicates a potential conversion, 5/48 does not accurately reflect the value of an American quarter in terms of an English pound. To convert, one must calculate based on the dollar to pound ratio, which does not yield this fraction.

C) 05/12

This choice is incorrect as it overestimates the worth of an American quarter. The calculations based on the dollar's value indicate that 5/12 is not aligned with the proper conversion from dollars to pounds.

D) 5/32

This option correctly represents the worth of an American quarter when calculated based on the value of one dollar being 5/8 of an English pound. Dividing the dollar's value into quarters leads to this precise fraction.

Conclusion

The correct answer, 5/32, accurately reflects the conversion of an American quarter into English pounds based on the established exchange rate of the dollar. All other options fail to represent the correct mathematical relationship derived from the dollar to pound conversion, confirming that D is the only valid answer.