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.(1 point)

____

Answer 1

Let \( x \) be the number of packages Sam bought. Each package contains 9 beads, so the total number of beads from the packages is \( 9x \).

According to the problem, Sam's mom bought him 63 additional beads. Thus, the total number of beads Sam has is given by:

\[
9x + 63 = 153
\]

Now, we can solve for \( x \). First, subtract 63 from both sides of the equation:

\[
9x = 153 - 63
\]
\[
9x = 90
\]

Next, divide both sides by 9:

\[
x = \frac{90}{9}
\]
\[
x = 10
\]

Thus, the number of packages Sam bought is \( \boxed{10} \).