Question

problems 4 - 6: while traveling in 2023, mai received 342.50 norwegian kroner in exchange for 50 australian dollars. 4. how many norwegian kroner would mai have received in exchange for 1 australian dollar? 5. write an equation to represent the amount of norwegian kroner, n, received in exchange for a australian dollars. 6. determine the number of norwegian kroner mai would receive in exchange for 120 australian dollars. unit 2 lesson 4 115

Explanation:

Step1: Find exchange - rate per 1 Australian dollar

We know that 50 Australian dollars exchange for 342.50 Norwegian kroner. To find the amount of Norwegian kroner per 1 Australian dollar, we divide the total amount of Norwegian kroner by the number of Australian dollars. So, the calculation is $\frac{342.50}{50}$.
$342.50\div50 = 6.85$

Step2: Write the equation

Let $n$ be the amount of Norwegian kroner and $a$ be the number of Australian dollars. Since the exchange - rate is 6.85 kroner per Australian dollar, the equation is $n = 6.85a$.

Step3: Calculate for 120 Australian dollars

We use the equation $n = 6.85a$. Substitute $a = 120$ into the equation. Then $n=6.85\times120$.
$6.85\times120 = 822$

Answer:

1. 6.85 Norwegian kroner
2. $n = 6.85a$
3. 822 Norwegian kroner