nine tenths of 40% of a number is two third of 162 find the number
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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
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