The number a is 60% greater than the positive number b. Thenumber c is 45% less than a. The number c is how many times b?
Question
The number a is 60% greater than the positive number b. Thenumber c is 45% less than a. The number c is how many times b?
Solution
Step 1: Let's assume the positive number b is x.
Step 2: According to the problem, the number a is 60% greater than b. So, a = x + 0.60x = 1.60x.
Step 3: The number c is 45% less than a. So, c = a - 0.45a = 0.55a.
Step 4: Substituting the value of a from step 2 into step 3, we get c = 0.55 * 1.60x = 0.88x.
Step 5: Therefore, the number c is 0.88 times the number b.
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