Question

In a new necklace, the ratio of star-shaped beads to moon-shaped beads is 5 to 2. If the necklace has 20 star shaped beads, how many total beads are on the necklace? Explain.

Answer 1

28

Explanation:

In the ratio:

star-shaped beads = 5

moon-shaped beads = 2

total number of beads = 5 + 2 = 7

ratio of star-shaped beads to total number of beads = 5:7

star-shaped beads = 20

Let x = total number of beads.

20/x = 5/7

Cross multiply.

5x = 20 * 7

Divide both sides by 5.

x = 4 * 7

x = 28

Answer: 28