Sam is buying packages with nine beeds each. His mom bought him 63 more beads, he has 153 how many packages did he buy use algebra to determine the answer?

1 answer

Let's represent the number of packages Sam bought with a variable, such as "P". We know that each package has 9 beads. Therefore, the total number of beads from the packages is 9P.

His mom bought him 63 more beads, so the total number of beads he has is 9P + 63.

We also know that Sam has a total of 153 beads, so we can set up the equation:

9P + 63 = 153

Now, let's solve for P by subtracting 63 from both sides of the equation:

9P = 153 - 63

9P = 90

Finally, to determine the value of P (the number of packages), we divide both sides of the equation by 9:

P = 90 / 9

P = 10

Therefore, Sam bought 10 packages.