Final answer:
To determine the number of packages Sam bought, we set up the equation 9x + 63 = 153. By solving for x, we find that Sam bought 10 packages.
Step-by-step explanation:
You've asked how many packages Sam bought if each package contains 9 beads, his mom gave him an additional 63 beads, and he now has a total of 153 beads. To solve this, we can use algebra.
Let's define 'x' as the number of packages Sam bought. Since each package has 9 beads, the total number of beads from the packages is 9x. We also know Sam's mom gave him 63 beads, so we can write the equation:
9x + 63 = 153
To find the value of 'x', we need to solve for x:
- Subtract 63 from both sides of the equation: 9x = 153 - 63
- Solve for x: 9x = 90
- Divide both sides by 9 to find x: x = 90 / 9
- x = 10
Sam bought 10 packages of beads.