Question

Sam is buying packages with 9 beads each. His mom bought him 63 more beads. Now, he has 153 beads. How many packages did he buy? Use algebra to determine the answer?

Answer 1

Let's use algebra to determine how many packages Sam originally bought. Let P represent the number of packages he bought, and each package contains 9 beads. So, the total number of beads he initially had can be represented as:

Total beads = 9P

Now, we know that Sam's mom bought him 63 more beads, and he has a total of 153 beads now. We can set up an equation to represent this:

9P + 63 = 153

To solve for P, we need to isolate it on one side of the equation:

Subtract 63 from both sides:

9P = 153 - 63

9P = 90

Now, divide both sides by 9 to find P:

P = 90 / 9

P = 10

So, Sam originally bought 10 packages of beads.