Question

Given that 5 canadian dollars are worth 4 us dollars and that 9 australian dollars are worth 7 us dollars. How many australian dollars are there to 1 us dollar.

Answer 1

1 US dollar is equal to 1.2857 Australian dollars.

Step-by-step explanation:

Step 1:

Assume 1 Canadian dollar is equal to x, 1 US dollar is equal to y and 1 Australian dollar is equal to z.

It is given that 5 Canadian dollars are worth 4 US dollars. So

$5x = 4y,$ take this as equation 1.

It is also given that 9 Australian dollars are worth 7 US dollars. So

$9z = 7y,$ take this as equation 2.

Step 2:

We need to determine how much z is equal to 1y.

To do so, we use equation 2 and solve for z while y has a coefficient of 1.

$9z=7y.$

$y = \frac{9}{7} z = 1.2857 z.$

So 1 US dollar is equal to 1.2857 Australian dollars.