Somya bought 2 toy cars for Rs (4x + 3y) each and 1 book for Rs (7x - 3y). What is the total money spent by her?

Options

A. 11x + 6y
B. 15 x + 3y
C. 3x - 6y
D. 3x + 6y

Answer

To find the total money spent by Somya, we need to calculate the cost of the toy cars and the book she bought.

### Step-by-Step Solution:

1. **Identify the cost of the toy cars**:
Somya bought 2 toy cars, each costing Rs (4x + 3y). Therefore, the total cost for the toy cars is:
\[ \text{Cost of toy cars} = 2 \times (4x + 3y) \]

2. **Calculate the cost of the toy cars**:
Now, we will distribute the 2 into the expression (4x + 3y):
\[ 2 \times (4x + 3y) = 2 \times 4x + 2 \times 3y = 8x + 6y \]

3. **Identify the cost of the book**:
Somya bought 1 book costing Rs (7x - 3y). Therefore, the total cost for the book is:
\[ \text{Cost of book} = 1 \times (7x - 3y) = 7x - 3y \]

4. **Combine the costs**:
Now, we will add the total cost of the toy cars and the book together:
\[ \text{Total money spent} = \text{Cost of toy cars} + \text{Cost of book} \]
Substituting the values we calculated:
\[ \text{Total money spent} = (8x + 6y) + (7x - 3y) \]

5. **Simplify the expression**:
Combine like terms:
- For the x terms: \(8x + 7x = 15x\)
- For the y terms: \(6y - 3y = 3y\)
Therefore, we have:
\[ \text{Total money spent} = 15x + 3y \]

### Final Answer:
The total money spent by Somya is \(15x + 3y\).

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