Emily sara and Samantha share 540 beads. em took 90, sara took 3 tiems as many as the total number if beads emily and samantha took. How many beads must sara give to samantha so that both receive the same number of beads?

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To solve this problem, let's start by finding out how many beads Emily and Samantha took in total.

If Emily took 90 beads, then the total number of beads taken by Emily and Samantha is 540 - 90 = 450 beads.

Now, let's find out how many beads Sara took. We know that Sara took 3 times as many beads as the total number of beads taken by Emily and Samantha. So, Sara took 3 * 450 = 1350 beads.

To find out how many beads Sara must give to Samantha so that both receive the same number of beads, we need to find the average number of beads each of them should have.

The total number of beads shared by Emily, Sara, and Samantha is 540, so each of them should have 540 / 3 = 180 beads.

Since Emily already has 90 beads, Samantha should also have 180 beads for them to both have the same number of beads. Therefore, Samantha should receive 180 - 90 = 90 beads from Sara.

So, Sara must give 90 beads to Samantha for both of them to have the same number of beads.