Simplify:- 150% of 220 * ? + 240 = 900

Options

A. a. 4
B. b. 5
C. c. 2
D. d. 6

Answer

To solve the equation \( 150\% \text{ of } 220 \times ? + 240 = 900 \), we will follow these steps:

### Step 1: Convert the percentage to a fraction
First, we convert \( 150\% \) to a fraction:
\[ 150\% = \frac{150}{100} = 1.5 \]

### Step 2: Calculate \( 150\% \text{ of } 220 \)
Next, we calculate \( 150\% \text{ of } 220 \):
\[ 1.5 \times 220 = 330 \]

### Step 3: Substitute back into the equation
Now we substitute this value back into the equation:
\[ 330 \times ? + 240 = 900 \]

### Step 4: Isolate the term with the variable
To isolate the term with the variable, we subtract \( 240 \) from both sides:
\[ 330 \times ? = 900 - 240 \]
\[ 330 \times ? = 660 \]

### Step 5: Solve for the variable
Now, we divide both sides by \( 330 \):
\[ ? = \frac{660}{330} \]

### Step 6: Simplify the fraction
We simplify the fraction:
\[ ? = 2 \]

Thus, the value of \( ? \) is \( 2 \).

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