Final answer:
To find the cost of one box of cereal, the total cost ($19.25) is divided by the number of boxes (5), resulting in the price per box being $3.85.
Step-by-step explanation:
The question asks us to find the value of x, which represents the cost in dollars of one box of cereal. Lila buys 5 boxes of cereal and spends a total of $19.25 on them. This situation can be represented by the equation 5x = 19.25, where x is the cost of one box of cereal. To find the value of x, we divide the total cost by the number of boxes:
- Write the equation: 5x = 19.25.
- Divide both sides by 5 to solve for x: x = 19.25 / 5.
- Calculate x: x = $3.85.
Therefore, the cost of one box of cereal is $3.85.