Question

2 2 If two-third of a number is one less than three - fourth of the same number, then the number is? A) 10 B) 11 C) 12 D) 14​

Answer 1

Answer:

I hope that its help you

Step-by-step explanation:

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 B)

Answer 2

3/4=0.75

2/3=0.666

so 0.66x +1 = 0.75x

1= 0.75x -0.66

1= 0.0834x

x= 1/0.0834

=11.99

approx 12