Question

80% of a number is equal to two-thirds of a second number.

The whole number ratio of the first number to the second number in its lowest terms is x:y

What is the value of x−y
?

Answer 1

-1

Explanation:

Let's assume 100 as the number. 80% of that number is 80. That's A. And since 80 is two-thirds of that number, the second number has to be 120. Simplifying that would give 5/6. 5-6 = -1

Answer 2

Answer: 1:1.2

1-1.2= -0.2

Explanation:

x = first number

y = second number

80/100*x (80 percent of one number)

2/3*y (two thirds of the second number)

equating

80/100*x=2/3*y

= 1.2=y

substituting:

80/100*x = 2/3 * 1.2

= x=1

substituting the value of x in the original equation

80/100 * 1 = 2/3 * y

= y=1.2

so, x=1, y=1.2

x:y

=1:1.2

x-y= 1 - 1.2 = -0.2