Three-fifths of the beads on Georgia's necklace are silver, and the remaining beads are gold. If she adds an extension that has 4 silver beads and 10 gold beads, then the number of silver beads will be the same as the number of gold beads. What is the total number of beads on Georgia's necklace before she adds the extension?

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following

the answer is 8/21

hope this