Can anyone help me please?

Amanda, Belinda and mary share 9x packets of beads. Amanda gets x packets more than Belinda. mary gets 6 packets more than Belinda.
(a) how many packets does belinda get in terms of x?
(b) if amanda gets 3 packets more than belinda, how many packets does belinda get?

a = b+x

m = b+6
a+b+m = 9x
(b+x)+b+(b+6) = 9x
3b+x+6 = 9x
3b = 8x-6
b = (8x-6)/3

I guess you can finish it off now.

Sure, I can help you with that!

To solve this problem, let's break it down step by step.

(a) How many packets does Belinda get in terms of x?

Let's assume that Belinda gets y packets. According to the problem, Amanda gets x packets more than Belinda. So, Amanda would get (y + x) packets.

Mary gets 6 packets more than Belinda, which means Mary would have (y + 6) packets.

We know that the three of them share a total of 9x packets. So, we can set up the following equation to represent the given information:

Belinda's packets + Amanda's packets + Mary's packets = Total packets
y + (y + x) + (y + 6) = 9x

Combining like terms, we have:
3y + x + 6 = 9x

Now, we want to solve for y, so let's isolate the variable y:

3y = 9x - x - 6
3y = 8x - 6

Divide both sides by 3:
y = (8x - 6)/3

Therefore, Belinda gets (8x - 6)/3 packets in terms of x.

(b) If Amanda gets 3 packets more than Belinda, how many packets does Belinda get?

Using the information from part (a), we can substitute this equation into our equation from before:

y = (8x - 6)/3

Now, we know that Amanda gets 3 packets more than Belinda, so we can set up another equation:

Amanda's packets = Belinda's packets + 3
(y + x) = y + 3

Substituting y = (8x - 6)/3 into this equation, we have:

((8x - 6)/3 + x) = (8x - 6)/3 + 3

Simplifying the equation:

(8x - 6 + 3x) = 8x - 6 + 9

Combining like terms:

11x - 6 = 8x + 3

Subtracting 8x from both sides:

3x - 6 = 3

Adding 6 to both sides:

3x = 9

Dividing both sides by 3:

x = 3

Now, we can substitute the value of x back into the equation y = (8x - 6)/3 to find Belinda's packets:

y = (8(3) - 6)/3
y = 6

Therefore, Belinda gets 6 packets.