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There are 27 blue marbles and 33 red marbles in the packet.

Step-by-step explanation:

Let's denote the number of blue marbles as "B" and the number of red marbles as "R."

According to the information given, the number of red marbles is 6 more than the number of blue marbles. This can be expressed as:

R = B + 6

We also know that there are a total of 60 marbles in the packet, so we can write another equation:

R + B = 60

Now, we have a system of two equations with two variables:

R = B + 6

R + B = 60

We can use these equations to solve for B (the number of blue marbles) and R (the number of red marbles).

First, we'll substitute the value of R from the first equation into the second equation:

(B + 6) + B = 60

Now, combine like terms:

2B + 6 = 60

Subtract 6 from both sides of the equation:

2B = 60 - 6

2B = 54

Now, divide by 2 to find the value of B:

B = 54 / 2

B = 27

So, there are 27 blue marbles.

Now, use the first equation to find the number of red marbles:

R = B + 6

R = 27 + 6

R = 33

There are 33 red marbles.

In summary, there are 27 blue marbles and 33 red marbles in the packet.