Question

brandon has a jar of 108 marbles, where there are 5 red marbles for every 7 blue marbles. how many red marbles are in the jar?

Explanation:

Step1: Find the total parts of the ratio

The ratio of red to blue marbles is \(5:7\). So the total number of parts is \(5 + 7=12\) parts.

Step2: Find the value of one part

There are a total of 108 marbles. To find the value of one part, we divide the total number of marbles by the total number of parts. So, one part is \(\frac{108}{12} = 9\) marbles per part.

Step3: Find the number of red marbles

Since the number of red marbles is 5 parts, we multiply the value of one part by 5. So, the number of red marbles is \(5\times9 = 45\).

Answer:

45