Questions: On October 23, 2011, one South African rand was worth 0.12 U.S. dollars. (a) On that date, how many dollars was 180.46 rand worth? Round your answer to the nearest hundredth of a dollar. [1] dollars (b) On that date, how many rand was 38.39 dollars worth? Round your answer to the nearest hundredth of a rand. rand

On October 23, 2011, one South African rand was worth 0.12 U.S. dollars.
(a) On that date, how many dollars was 180.46 rand worth? Round your answer to the nearest hundredth of a dollar.
[1] dollars
(b) On that date, how many rand was 38.39 dollars worth? Round your answer to the nearest hundredth of a rand.
rand

Transcript text: On October 23, 2011, one South African rand was worth 0.12 U.S. dollars. (a) On that date, how many dollars was 180.46 rand worth? Round your answer to the nearest hundredth of a dollar. [1] dollars (b) On that date, how many rand was 38.39 dollars worth? Round your answer to the nearest hundredth of a rand. $\square$ rand

Solution

Solution Steps

Step 1: Convert 180.46 rand to dollars

Given that 1 South African rand (ZAR) is worth 0.12 U.S. dollars (USD), we can calculate the value of 180.46 rand in dollars by multiplying: \[ 180.46 \, \text{ZAR} \times 0.12 \, \text{USD/ZAR} = 21.6552 \, \text{USD}. \] Rounding to the nearest hundredth of a dollar: \[ 21.6552 \, \text{USD} \approx 21.66 \, \text{USD}. \]

Step 2: Convert 38.39 dollars to rand

To find out how many rand 38.39 dollars is worth, we divide by the exchange rate: \[ 38.39 \, \text{USD} \div 0.12 \, \text{USD/ZAR} = 319.9167 \, \text{ZAR}. \] Rounding to the nearest hundredth of a rand: \[ 319.9167 \, \text{ZAR} \approx 319.92 \, \text{ZAR}. \]