Question

Veronica traveled 562 miles to Venice, Florida. She drove 85 miles every day. on the last day she drove 52 miles. write and solve an equation to find the number of days veronica traveled. explain each step of your problem-solving strategy

Answer 1

Veronica traveled for 7 days.

Step-by-step explanation:

To find the number of days Veronica traveled, we can set up an equation using the given information.

1. Let's assume the number of days Veronica traveled is 'x'.
2. On each day, she drove 85 miles except for the last day, when she drove 52 miles.
3. So, the total number of miles Veronica drove can be expressed as: 85(x-1) + 52.
4. This total number of miles must be equal to 562, as given in the question.
5. Therefore, the equation becomes: 85(x-1) + 52 = 562.
6. Simplifying the equation, we get: 85x - 85 + 52 = 562. Combining like terms, we have: 85x - 33 = 562.
7. Next, we isolate the variable by adding 33 to both sides of the equation: 85x = 595.
8. Finally, we can solve for 'x' by dividing both sides of the equation by 85: x = 7.

Therefore, Veronica traveled for 7 days.