Reema had 2400 sweets, of which she distributed 424 among her schoolmates. Pooja had 2900 sweets, she distributed 620 of these among her schoolmates. Find the ratio of the sweets left with them.

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Determine the number of sweets left with Reema
Reema initially had 2400 sweets and distributed 424 sweets among her schoolmates.

**Calculation:**
\[ \text{Sweets left with Reema} = \text{Total sweets} - \text{Distributed sweets} \]
\[ \text{Sweets left with Reema} = 2400 - 424 = 1976 \]

### Step 2: Determine the number of sweets left with Pooja
Pooja initially had 2900 sweets and distributed 620 sweets among her schoolmates.

**Calculation:**
\[ \text{Sweets left with Pooja} = \text{Total sweets} - \text{Distributed sweets} \]
\[ \text{Sweets left with Pooja} = 2900 - 620 = 2280 \]

### Step 3: Write the sweets left with Reema and Pooja
Now we have:
- Sweets left with Reema = 1976
- Sweets left with Pooja = 2280

### Step 4: Find the ratio of sweets left with Reema to sweets left with Pooja
To find the ratio, we will write it as:
\[ \text{Ratio} = \frac{\text{Sweets left with Reema}}{\text{Sweets left with Pooja}} = \frac{1976}{2280} \]

### Step 5: Simplify the ratio
To simplify the ratio, we can divide both numbers by their greatest common divisor (GCD).

1. First, we can check for common factors. Both numbers can be divided by 4:
\[ \frac{1976 \div 4}{2280 \div 4} = \frac{494}{570} \]

2. Next, we can simplify further by dividing by 2:
\[ \frac{494 \div 2}{570 \div 2} = \frac{247}{285} \]

### Final Step: Write the final ratio
Thus, the simplified ratio of the sweets left with Reema to the sweets left with Pooja is:
\[ \text{Ratio} = 247 : 285 \]