Question

itsuki is preparing to travel around from japan to england and he wants to exchange ¥5,000 JPY to pounds, he finds that the current exchange rate is £0.0071 GBP to ¥1 JPY. if itsuki exchanges ¥5,000 JPY, how much money will he receive in pounds?

Answer 1

Step-by-step explanation:

so the rate (or ratio) between both currencies is

0.0071 / 1

as you can see, such a rate of ratio is actually a fraction in appearance and handling.

now if we multiply one side by a factor, we need to multiply also the other side by the same factor to keep the value of the fraction overall unchanged.

in our case the right (or bottom) side is multiplied by 5000, as the exchange of 1 Yen is done 5000 times when changing 5000 Yen.

so, we need to multiply also the other side by 5000 to give us the amount of Pound needed to keep the rate (or ratio) unchanged.

so, we get

0.0071/1 × 5000/5000 = 35.5 / 5000

that means he gets £35.5 for his 5000 JPY.