eddie made a beaded necklace for his mother. every third bead is blue. every seventh bead is green. all the remaining beads are white. there are 20 beads in all. how many beads are blue? green? white?
blue beads are 3,6,9,12,15,18
green ones are 7,14
so, what do you think?
To solve this problem, we can break it down step by step.
Step 1: Understand the problem:
We need to determine the number of blue, green, and white beads in Eddie's necklace. The necklace has a total of 20 beads, every third bead is blue, every seventh bead is green, and the remaining beads are white.
Step 2: Find the number of blue beads:
Since every third bead is blue, we need to count how many groups of three beads there are in total. We can do this by dividing the total number of beads (20) by the frequency of blue beads (3).
Blue beads: 20 / 3 = 6 (with a remainder of 2, which will be accounted for later)
Step 3: Find the number of green beads:
Similar to finding the number of blue beads, we need to count how many groups of seven beads there are in total. Again, we divide the total number of beads (20) by the frequency of green beads (7).
Green beads: 20 / 7 = 2 (with a remainder of 6)
Step 4: Find the number of white beads:
Now, to find the number of white beads, we need to subtract the total number of blue and green beads from the total number of beads.
White beads: 20 - (6 + 2) = 12
Therefore, the number of beads in Eddie's necklace are as follows:
Blue beads: 6
Green beads: 2
White beads: 12