The number a is 60 % greater than the positive number b . The number c is 45 % less

Question

The number a is 60 % greater than the positive number b . The number c is 45 % less than a . The number c is how many times b ?

Accepted Answer

The correct answer is .88 . It&rsquo;s given that the number a is 60 % greater than the positive number b . Therefore, a = 1 + 60 100 b , which is equivalent to a = 1 + 0.60 b , or a = 1.60 b . It&rsquo;s also given that the number c is 45 % less than a . Therefore, c = 1 - 45 100 a , which is equivalent to c = 1 - 0.45 a , or c = 0.55 a . Since a = 1.60 b , substituting 1.60 b for a in the equation c = 0.55 a yields c = 0.55 1.60 b , or c = 0.88 b . Thus, the number c is 0.88 times the number b . Note that .88 and 22/25 are examples of ways to enter a correct answer.

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