Question

A short necklace has 32 gold beads and 8 black beads.

A long necklace has a total of 60 beads.

Both necklaces have the same ratio of gold beads to black beads.

How many black beads are on the long necklace?

Answer 1

12 black beads

Explanation:

Given the ration of gold beads to black beads on the short necklace:

`(gold)/(black)=(32)/(8)=(4)/(1)`

Since the ratio of 4:1 has 5 total parts, you can take the total amount of beads in the long necklace and divide by 5:

60 ÷ 5 = 12

12 beads represents 1 part of the ratio, so that would be the number of black beads. To check, multiply 12 by 4: 12 x 4 = 48, and set up a ratio:

48: 12 = 4: 1