Did you know?
Did you know that algebra can help us solve real-life problems? In this case, Sam bought packages of beads and his mom added more beads to his collection. By using algebraic equations, we can determine how many packages Sam actually bought. Let's say he bought 'x' packages, with each package containing 9 beads. So, the total number of beads from the packages is 9x. Since his mom bought him 63 more beads, we add this quantity to the equation. Now we have 9x + 63 beads in total. Finally, we know that Sam has 153 beads in total. By setting up the equation 9x + 63 = 153, we can solve for 'x', which will give us the number of packages Sam bought. Isn't it fascinating how algebra helps us solve practical problems?