Question

Enola has a toy car collection. She keeps some in a display case and the rest on the wall. 155 of her toy cars are on the wall, and 69, percent69% of her toy cars are in the display case. What is the total number of toy cars in Enola's collection?

Answer 1

Let \( x \) be the total number of toy cars in Enola's collection. According to the information provided, 69% of the toy cars are in the display case. Therefore, the number of toy cars in the display case can be expressed as:

\[
0.69x
\]

The number of toy cars that are on the wall is given as 155. Since the total number of toy cars can be represented as the sum of the toy cars in the display case and those on the wall, we have:

\[
x = 0.69x + 155
\]

To solve for \( x \), we will first isolate \( x \) on one side of the equation. Subtract \( 0.69x \) from both sides:

\[
x - 0.69x = 155
\]

This simplifies to:

\[
0.31x = 155
\]

Next, divide both sides by 0.31 to find \( x \):

\[
x = \frac{155}{0.31}
\]

Calculating the right-hand side:

\[
x = 500
\]

Thus, the total number of toy cars in Enola's collection is:

\[
\boxed{500}
\]