Samir buys $x$ cans of soda at 30 cents each and $(x+4)$ cans of soda at 35 cents each. The total cost is $3.35. We need to find the value of $x$.

1. Problem Description

Samir buys $x$ cans of soda at 30 cents each and $(x+4)$ cans of soda at 35 cents each. The total cost is $3.

3

5. We need to find the value of $x$.

2. Solution Steps

The total cost of $x$ cans at 30 cents each is $30x$ cents.

The total cost of $(x+4)$ cans at 35 cents each is $35(x+4)$ cents.

The total cost is given as $3.35, which is equal to 335 cents.

Thus, we have the equation:

$30x + 35(x+4) = 335$

Expanding the equation:

$30x + 35x + 140 = 335$

$65x + 140 = 335$

Subtracting 140 from both sides:

$65x = 335 - 140$

$65x = 195$

Dividing both sides by 65:

$x = \frac{195}{65}$

$x = 3$

3. Final Answer

The value of $x$ is 3.