b) If $$ 150 \% $$ of a number is 60 , is the number greater than or less than 60 ? Select the correct choice below and fill in the answer box within your choice. A. Greater than 60 , because the number is B. Less than 60 , because the number is C. The number equals 60 .

Question

UpStudy AI · Accepted Answer

To determine whether the number is greater than, less than, or equal to 60, we start by setting up the equation based on the information given:

Let $$ n $$ be the number. According to the problem, $$ 150\% $$ of $$ n $$ is equal to $$ 60 $$. We can express this mathematically as:

$$
1.5n = 60
$$

Now, we will solve for $$ n $$ step by step:

1. Divide both sides of the equation by $$ 1.5 $$:

$$
n = \frac{60}{1.5}
$$

Now, let's calculate $$ \frac{60}{1.5} $$:
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{60}{1.5}$$
- step1: Convert the expressions:
  $$\frac{60}{\frac{3}{2}}$$
- step2: Multiply by the reciprocal:
  $$60\times \frac{2}{3}$$
- step3: Reduce the numbers:
  $$20\times 2$$
- step4: Multiply the numbers:
  $$40$$
Calculating $$ \frac{60}{1.5} $$ gives us $$ 40 $$.

Now we can conclude:

- The number $$ n $$ is $$ 40 $$.
- Since $$ 40 $$ is less than $$ 60 $$, we can select the correct choice.

The correct choice is:
**B. Less than 60, because the number is 40.**
The number is 40, which is less than 60.

b) If \( 150 \% \) of a number is 60 , is the number greater than or less than 60 ? Select the correct choice below and fill in the answer box within your choice. A. Greater than 60 , because the number is B. Less than 60 , because the number is C. The number equals 60 .

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