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1) 55% of a number is 66. Which statements below are true? Select all that apply.

A) The number is less than 66.

B) The number is more than 66.

C) The number is 36.3.

D) The number is 120.

Answer :

To solve the problem, we need to find the original number from which 55% is equal to 66. Let's break it down step by step:

1. Understand the Problem:
- We know that 55% of some number equals 66.
- We need to find that original number.

2. Set Up an Equation:
- If we let the original number be [tex]\( x \)[/tex], then:
[tex]\[
0.55 \times x = 66
\][/tex]

3. Solve for [tex]\( x \)[/tex]:
- To find [tex]\( x \)[/tex], divide both sides of the equation by 0.55:
[tex]\[
x = \frac{66}{0.55}
\][/tex]

4. Calculate the Value:
- When you perform the division [tex]\( \frac{66}{0.55} \)[/tex], you get approximately [tex]\( 120 \)[/tex].

5. Compare and Verify:
- With the calculated number 120, we can check the truth of each statement:
- a) The number is less than 66: False, because 120 is more than 66.
- b) The number is more than 66: True, because 120 is indeed greater than 66.
- c) The number is 36.3: False, because our number is 120, not 36.3.
- c) The number is 120: True, because our calculation shows that the number is indeed 120.

So, the correct statements are b and the second c (the number is 120).

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Rewritten by : Barada