Question

At the craft store, Lorenzo bought a bag of red and brown marbles. He received 24 red marbles and 51 brown marbles. What percentage of the marbles were red?

Answer 1

To find the percentage of red marbles that Lorenzo bought, we first need to determine the total number of marbles he has. This can be calculated by adding the number of red marbles to the number of brown marbles.

Lorenzo has:
- 24 red marbles
- 51 brown marbles

So the total number of marbles is:

\[
24 + 51 = 75 \text{ marbles}
\]

Next, we calculate the percentage of marbles that are red. The formula for percentage is:

\[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
\]

In this case, the part is the number of red marbles (24) and the whole is the total number of marbles (75). Plugging in the values, we have:

\[
\text{Percentage of red marbles} = \left( \frac{24}{75} \right) \times 100
\]

Calculating the fraction:

\[
\frac{24}{75} = 0.32
\]

Now multiplying by 100 to get the percentage:

\[
0.32 \times 100 = 32
\]

Thus, the percentage of the marbles that were red is

\[
\boxed{32}
\] percent.