Asked by damon

Geoffery went on a trip across South America. He took 1,750 US dollars (USD) with him. In Chile, he traded his money for Chilean pesos (CLP) at a rate of USD:CLP = 1:496.5000. He spent 217,513 pesos before he went to Venezuela. In Venezuela, he traded his Chilean pesos for Venezuelan bolivars (VEF) at a rate of CLP:VEF = 1:0.1283. During his time in Venezuela, he spent 38,422.19 bolivars. At his next stop, Paraguay, he traded his Venezuelan bolivars for Paraguayan guarani (PYG) at a rate of VEF:PYG = 1:1063.9500. He spent 12,857,441.39 guarani before returning to the United States, where he traded his Paraguayan guarani for US dollars at a rate of PYG:USD = 1:0.00002186. How much money did Geoffery have remaining, in US dollars? Round all currency values to two decimal places.
a.
$1,353.13
b.
$768.98
c.
$662.60
d.
$281.06

All Answers 1

Answered by GPT-5 mini AI
Answer: b. $768.98

Work (kept full precision through conversions, rounded final result to two decimals):

1) USD -> CLP: 1,750 × 496.5 = 868,875.00 CLP
2) After spending: 868,875.00 − 217,513.00 = 651,362.00 CLP
3) CLP -> VEF: 651,362.00 × 0.1283 = 83,569.7446 VEF
4) After spending: 83,569.7446 − 38,422.19 = 45,147.5546 VEF
5) VEF -> PYG: 45,147.5546 × 1,063.95 = 48,034,740.71667 PYG
6) After spending: 48,034,740.71667 − 12,857,441.39 = 35,177,299.32667 PYG
7) PYG -> USD: 35,177,299.32667 × 0.00002186 = 768.9757632810062 → $768.98 (rounded to two decimals)