Keila travels from Singapore to Japan.
She wants to change 850 Singapore dollars ($) into Yen (¥). The exchange rate in Singapore is $100 = ¥11600 and the exchange rate in Japan is ¥1 = $0.0086.
She claims that she will receive more if she changes the money in Singapore.
Justify if her claim is true.
Show your working. Answer ...

1. Find the amount of Yen received if she changes the money in Singapore.

In Singapore, $\char36{}100 = ¥11600$.

For $\char36{}850$,
$850 \div 100 \times 11600 = 98600$
So she receives $¥98600$.

2. Find the amount of Yen received if she changes the money in Japan.

In Japan, $¥1 = \char36{}0.0086$.

For $\char36{}850$,
$850 \div 0.0086 = 98837.209\ldots$
So she receives about $¥98837$.

3. Compare the two amounts and justify the claim.

Since
$98837.209\ldots > 98600,$
the amount received in Japan is greater.