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 Sam bought can be expressed as \( 9x \).

According to the problem, Sam's mom bought him 63 more beads. So, the total number of beads he has after receiving the extra beads is:

\[ 9x + 63 = 153 \]

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

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

Next, divide both sides by 9 to find \( x \):

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

Therefore, Sam bought \( \boxed{10} \) packages.