A shopkeeper sells mangoes in two types of boxes, one small and one large. A large box contains as many as `8` small boxes plus `4` loose mangoes.Set up an equation which gives the number of mangoes in each small box. The number of mangoes in a large box is given to be `100`.

Options

A. ` 8x + 4 = 90`
B. `9x + 8 = 120`
C. `8x + 4 = 100`
D. `9x + 8 = 110`

Explanation

To find the number of mangoes in each small box, we can set up an equation based on the information provided.

1. **Define the variables**:
Let \( x \) be the number of mangoes in each small box.

2. **Understand the relationship**:
According to the problem, a large box contains:
- 8 small boxes, which means it contains \( 8x \) mangoes from the small boxes.
- Additionally, there are 4 loose mangoes.

3. **Set up the equation**:
The total number of mangoes in a large box is given to be 100. Therefore, we can write the equation as:
\[ 8x + 4 = 100 \]

4. **Solve the equation**:
To find \( x \), we will isolate it:
- First, subtract 4 from both sides:
\[ 8x + 4 - 4 = 100 - 4 \]
This simplifies to:
\[ 8x = 96 \]
- Next, divide both sides by 8:
\[ x = \frac{96}{8} \]
This simplifies to:
\[ x = 12 \]

Thus, the number of mangoes in each small box is **12**.