Answered

A family travels from Hongkong to Singapore for a holiday. They exchanged HK$35000 to Singapore dollars at an exchange rate of HK$100= S$ 16.235. They spent a total of S$3500 and converted the remaining into HK$ at the end of the trip at an exchange rate of HK$ 100=S$16.242. Find the amount of Hongkong dollars they receive, giving your answer correct to the nearest dollar.

Answer :

Answer:

The amount of Hongkong dollars they receive will be HK$13,436.

Step-by-step explanation:

Hong Kong dollars exchanged by family in Singapore = HK$35,000

Exchange rate: HK$100= S$ 16.235

Singapore dollars received by family after the exchange :

[tex]=\frac{S\$ 16.235}{HK\$100}\times HK\$35,000=S\$5,682.25[/tex]

Total expenditure of the family in Singapore = S$3500

Remaining Singapore dollars = S$5,682.25 - S$3,500 = S$2,182.25

After the end of the trip, the family exchanged their remaining Singapore dollars with Hong Kong dollars at the exchange rate of:

HK$ 100=S$16.242

The amount of Hongkong dollars family received:

[tex]=\frac{HK\$ 100}{S\$16.242}\times S\$2,182.25=HK\$13,435.84 \approx HK\$13,436[/tex]

The amount of Hongkong dollars they receive will be HK$13,436.

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