By how much is three-fifth of 350 greater than four-seventh of 210?

Options

A. 90
B. 110
C. 120
D. 210

Answer

To solve the problem of finding out by how much three-fifth of 350 is greater than four-seventh of 210, we will follow these steps:

### Step 1: Calculate three-fifth of 350
To find three-fifth of 350, we multiply 350 by \( \frac{3}{5} \).

\[ \text{Three-fifth of 350} = 350 \times \frac{3}{5} \]

### Step 2: Simplify the multiplication
We can simplify this calculation by first dividing 350 by 5.

\[ 350 \div 5 = 70 \]

Now, multiply 70 by 3.

\[ 70 \times 3 = 210 \]

So, three-fifth of 350 is 210.

### Step 3: Calculate four-seventh of 210
Next, we find four-seventh of 210 by multiplying 210 by \( \frac{4}{7} \).

\[ \text{Four-seventh of 210} = 210 \times \frac{4}{7} \]

### Step 4: Simplify the multiplication
We can simplify this calculation by first dividing 210 by 7.

\[ 210 \div 7 = 30 \]

Now, multiply 30 by 4.

\[ 30 \times 4 = 120 \]

So, four-seventh of 210 is 120.

### Step 5: Find the difference
Now, we need to find out by how much three-fifth of 350 is greater than four-seventh of 210. We do this by subtracting the two results we obtained:

\[ \text{Difference} = 210 - 120 \]

### Step 6: Calculate the difference
\[ 210 - 120 = 90 \]

Thus, three-fifth of 350 is greater than four-seventh of 210 by 90.

### Final Answer
The answer is 90.

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