Which of these is also a multiple of 20?
15, 30, 45, 60, 75, 90, 115
15, 30, 45, 60, 75, 90, 115
Since Juanita plans to put 15 beads on each necklace, you can multiply 15 by the number of necklaces she wants to make to find the total number of beads needed. However, the question does not specify the number of necklaces Juanita plans to make, so let's assume she wants to make "N" necklaces.
Total number of beads needed = 15 beads/necklace × N necklaces
Now, you can divide this total number of beads by the number of beads in each package (20 beads) to find the number of packages needed:
Number of packages needed = (15 beads/necklace × N necklaces) / 20 beads/package
Simplifying this expression gives:
Number of packages needed = (15N) / 20
Since Juanita wants to have no beads left over, the number of packages must be a whole number. To find the least number of packages, you need to divide 15N by 20 while keeping the result as a whole number. This can be done by finding the greatest common divisor (GCD) of 15N and 20. The GCD will divide both numbers evenly, and dividing by the GCD will give the least number of packages needed.
So, to answer the question, first, determine the GCD of 15N and 20, and then divide 15N by the GCD. The result will be the least number of packages Juanita needs to buy.