Question

Senja has 105 solid-colored disks that are either red, blue, or green. She lines them up on the floor and finds that there are 30 more red disks than green and 21 more green disks than blue. How many red disks does she have?

Select an answer choice option

Answer 1

There are 62 red disks.

Step-by-step explanation:

Let's solve this problem step-by-step:

Let the number of green disks be x. So, the number of red disks would be x + 30 and the number of blue disks would be x - 21.

According to the given information, the total number of disks is 105. Therefore, we can write the equation:

x + (x + 30) + (x - 21) = 105

Now, solve the equation through the steps:

1. Combine like terms: 3x + 9 = 105
2. Subtract 9 from both sides: 3x = 96
3. Divide both sides by 3: x = 32

Therefore, the number of green disks is 32 and the number of red disks is 32 + 30 = 62.