Explanation

Since x is 20% more than z, we have:

x = z + (20% of z)

= 100 + (20/100) × 100

= 100 + 20

= 120

Since y is 80% more than z, we have:

y = z + (80% of z)

= 100 + (80/100) × 100

= 100 + 80

= 180

Now, we need to find the ratio x:y. We can simplify this by dividing both numbers by their greatest common divisor (GCD), which is 20.

x = 120 ÷ 20 = 6

y = 180 ÷ 20 = 9

So, the ratio x:y is 6:9. We can further simplify this by dividing both numbers by their GCD, which is 3.

x = 6 ÷ 3 = 2

y = 9 ÷ 3 = 3

Therefore, the ratio x:y is 2:3.