`x% "of" 275+sqrt(625)=450div3+40`

Options

A. 54
B. 60
C. 45
D. 58

Explanation

To solve the equation \( x\% \text{ of } 275 + \sqrt{625} = \frac{450}{3} + 40 \), we will follow these steps:

### Step 1: Calculate \( \sqrt{625} \)
\[ \sqrt{625} = 25 \]
**Hint:** The square root of a number is a value that, when multiplied by itself, gives the original number.

### Step 2: Calculate \( \frac{450}{3} \)
\[ \frac{450}{3} = 150 \]
**Hint:** Dividing a number by another number gives you how many times the divisor fits into the dividend.

### Step 3: Substitute the values into the equation
Now we can rewrite the equation:
\[ x\% \text{ of } 275 + 25 = 150 + 40 \]

### Step 4: Calculate \( 150 + 40 \)
\[ 150 + 40 = 190 \]
**Hint:** Adding two numbers gives you their total.

### Step 5: Rewrite the equation
Now we have:
\[ x\% \text{ of } 275 + 25 = 190 \]

### Step 6: Isolate \( x\% \text{ of } 275 \)
Subtract 25 from both sides:
\[ x\% \text{ of } 275 = 190 - 25 \]
\[ x\% \text{ of } 275 = 165 \]
**Hint:** To isolate a term, perform the opposite operation on both sides of the equation.

### Step 7: Express \( x\% \text{ of } 275 \) in terms of \( x \)
Recall that \( x\% \text{ of } 275 \) can be expressed as:
\[ \frac{x}{100} \times 275 \]
So we rewrite the equation:
\[ \frac{x}{100} \times 275 = 165 \]

### Step 8: Solve for \( x \)
Multiply both sides by 100 to eliminate the fraction:
\[ 275x = 16500 \]
Now divide by 275:
\[ x = \frac{16500}{275} \]

### Step 9: Calculate \( \frac{16500}{275} \)
Perform the division:
\[ x = 60 \]
**Hint:** When dividing, you are finding out how many times the divisor fits into the dividend.

### Final Answer
The value of \( x \) is \( 60 \).