Question

given that 5 canadian dollars are worth 4 us dollars and that 9 australian dollars are worth 7 us dollars how many canadian dollars are there to 1 australian dollar. This is a ratio and porportion question not a real conversion.

Answer 1

Answer:

There are 0.972222 Canadian dollars in 1 Australian dollar

Step-by-step explanation:

Lets find 1 US dollars worth how many Canadian dollars

∵ 5 Canadian dollars are worth 4 US dollars

By using ratio method

→  US  :  Canadian

→  4     :  5

→  1      :  x

By using cross multiplication

∴ 4 × x = 1 × 5

∴ 4 x = 5

- Divide both sides by 4

∴ x = $1\frac{1}{4}$

∵ x represents the Canadian dollars

∴ 1 US dollar is worth $1\frac{1}{4}$  Canadian dollars

Let us do the same with the Australian dollars and US dollars

∵ 9 Australian dollars are worth 7 us dollars

By using ratio method

→  US  :  Australian

→  7     :  9

→  1      :  y

By using cross multiplication

∴ 7 × y = 1 × 9

∴ 7 y = 9

- Divide both sides by 7

∴ y = $1\frac{2}{7}$

∵ y represents the Australian dollars

∴ 1 US dollar is worth $1\frac{2}{7}$ Australian dollars

Now equate the two values if US dollars

∴ $1\frac{2}{7}$ Australian dollars = $1\frac{1}{4}$  Canadian dollars

By using ratio method

→  Australian  :  Canadian

→   $1\frac{2}{7}$               :   $1\frac{1}{4}$

→  1                  :   z

By using cross multiplication

∴ $1\frac{2}{7}$  × z = 1 × $1\frac{1}{4}$

∴ $1\frac{2}{7}$  z = $1\frac{1}{4}$

- Divide both sides by $1\frac{2}{7}$

∴ z = $\frac{35}{36}$ = 0.972222

∵ z represents the Canadian dollars

∴ 1 Australian dollar is worth 0.972222 Canadian dollars

There are 0.972222 Canadian dollars in 1 Australian dollar