Question

One- fourth of a number equals one- fifth of the second number increased by 1. The difference of the second number and first number is 26. What is the smaller number​

Answer 1

Two-thirds of three-fourths of one-fifth of a number is 15. What is 30 percent of that number?

Let n equal the number; Then, we have:

2/3{3/4[(1/5)n]} = 15

By the Associative Property of the Multiplication of Real Numbers, we have:

[(2/3)(3/4)](1/5)n = 15

Multiplying fractions, we have:

[6/12](1/5)n = 15

(1/2)(1/5)n = 15

Multiplying fractions again, we get:

(1/10)n = 15

Solving for n by multiplying both sides of the equation by 10, we get:

(10)(1/10)n = (10)(15)

(1)n = 150

n = 150

Now, 30% of n is found as follows:

30% of n = .30(n)

= .30(150)

= 45 (Choice