Final answer:
Gabriella exchanged her 162 Yuan for US dollars at a rate of $7 to 54 Yuan. By setting up a proportion, we calculated that she would receive $21.
Step-by-step explanation:
The student, Gabriella, wants to exchange her Chinese Yuan for US dollars. The exchange rate given is $7 for 54 Yuan. To find out how many dollars she will receive for 162 Yuan, we can set up a proportion based on the exchange rate: (7 dollars / 54 Yuan) = (x dollars / 162 Yuan), where x represents the amount in dollars Gabriella will get after exchanging her Yuan.
Now we cross-multiply and solve for x:
- Multiply 7 by 162.
- Divide the result by 54.
This gives us: x = (7 * 162) / 54. By simplifying this, we calculate 7 * 3 = 21. Therefore, Gabriella will receive $21.