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 =
∵ x represents the Canadian dollars
∴ 1 US dollar is worth 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 =
∵ y represents the Australian dollars
∴ 1 US dollar is worth Australian dollars
Now equate the two values if US dollars
∴ Australian dollars = Canadian dollars
By using ratio method
→ Australian : Canadian
→ :
→ 1 : z
By using cross multiplication
∴ × z = 1 ×
∴ z =
- Divide both sides by
∴ z = = 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