| Date | November 2017 | Marks available | 2 | Reference code | 17N.1.sl.TZ0.8 |
| Level | SL only | Paper | 1 | Time zone | TZ0 |
| Command term | Find | Question number | 8 | Adapted from | N/A |
Question
In this question, give all answers correct to 2 decimal places.
Jose travelled from Buenos Aires to Sydney. He used Argentine pesos, ARS, to buy 350 Australian dollars, AUD, at a bank. The exchange rate was 1 ARS = 0.1559 AUD.
The bank charged Jose a commission of 2%.
Jose used his credit card to pay his hotel bill in Sydney. The bill was 585 AUD. The value the credit card company charged for this payment was 4228.38 ARS. The exchange rate used by the credit card company was 1 AUD = \(x\) ARS. No commission was charged.
Use this exchange rate to calculate the amount of ARS that is equal to 350 AUD.
Calculate the total amount of ARS Jose paid to get 350 AUD.
Find the value of \(x\).
Markscheme
Note: In this question, the first time an answer is not to 2 dp the final (A1) is not awarded.
\(\frac{{350}}{{0.1559}}\) (M1)
Note: Award (M1) for dividing 350 by 0.1559.
\( = 2245.03{\text{ (ARS)}}\) (A1) (C2)
[2 marks]
\(2245.03 \times 1.02\) (M1)
Note: Award (M1) for multiplying their answer to part (a) by 1.02.
\( = 2289.93{\text{ (ARS)}}\) (A1)(ft) (C2)
OR
\(2245.03 \times 0.02\) (M1)
Note: Award (M1) for multiplying their answer to part (a) by 0.02.
\( = 44.9006\)
\(2245.03 + 44.90\)
\( = 2289.93{\text{ (ARS)}}\) (A1)(ft) (C2)
Note: Follow through from part (a).
[2 marks]
\(\frac{{4228.38}}{{585}}\) (M1)
Note: Award (M1) for dividing 4228.38 by 585.
\( = 7.23\) (A1) (C2)
[2 marks]
