What must be added to the product of 35 and 15 to make it 1500?

Options

A. 925
B. 950
C. 975
D. 795

Answer

To solve the problem of what must be added to the product of 35 and 15 to make it 1500, we can follow these steps:

### Step 1: Calculate the product of 35 and 15.
To find the product, we multiply the two numbers:
\[ 35 \times 15 = 525 \]

### Step 2: Set up the equation.
Let \( x \) be the number that must be added to the product. According to the problem, we want the sum of the product and \( x \) to equal 1500:
\[ 525 + x = 1500 \]

### Step 3: Solve for \( x \).
To find \( x \), we can rearrange the equation:
\[ x = 1500 - 525 \]

### Step 4: Perform the subtraction.
Now, we calculate the value of \( x \):
\[ x = 1500 - 525 = 975 \]

### Conclusion:
Therefore, the number that must be added to the product of 35 and 15 to make it 1500 is:
\[ \boxed{975} \]

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