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

Question

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Answer 1

Let x be the number of packages Sam initially bought.

The total number of beads Sam had initially is 9x.

After his mom bought him 63 more beads, the total number of beads he has is 9x + 63.

According to the problem, the total number of beads Sam has now is 153.

Therefore, we have the equation:

9x + 63 = 153

Subtract 63 from both side of the equation:

9x = 90

Divide by 9:

x = 10

Sam initially bought 10 packages.