Question

Solve the problems.

The number a is less than the number b by (1)/(5) of b. By what part of a is b greater than a ?

Answer 1

B is greater than A by 1/4 of A

Explanation:

Let's use the information given in the problem to write expressions for the values of a and b:

a = b - (1/5)b = (4/5)b

b is greater than a by the difference:

b - a = b - (4/5)b = (1/5)b

To express this difference as a fraction of a, we divide by a:

(b - a)/a = ((1/5)b)/((4/5)b) = 1/4

Therefore, b is greater than a by 1/4 of a.