Questions: Da'vonne started a business making handmade cards. She made 45 birthday cards, which was 25% of the total number of cards she made. How many cards did she make total?

Solution Steps

To find the total number of cards Da'vonne made, we can use the given information that 45 birthday cards represent 25% of the total number of cards. We can set up a proportion to solve for the total number of cards.

1. Let \( T \) be the total number of cards.
2. We know that 25% of \( T \) is equal to 45.
3. Set up the equation: \( 0.25 \times T = 45 \).
4. Solve for \( T \) by dividing both sides of the equation by 0.25.

We are given that Da'vonne made 45 birthday cards, which is 25% of the total number of cards she made. We need to find the total number of cards.

Let \( T \) be the total number of cards. We know that 25% of \( T \) is equal to 45. This can be written as: \[ 0.25 \times T = 45 \]

To find \( T \), we divide both sides of the equation by 0.25: \[ T = \frac{45}{0.25} \]

Perform the division: \[ T = 180.0 \]

Final Answer