Answer:
12 black beads
Step-by-step explanation:
Given the ration of gold beads to black beads on the short necklace:
[tex]\frac{gold}{black}=\frac{32}{8}=\frac{4}{1}[/tex]
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
