The total number of beads in the necklace is 40 beads.
Number of white beads:
2/5 of the beads are white.
Therefore, the number of white beads is:
[tex]\Rightarrow\frac{2}{5}\times40=16\text{ beads}[/tex]Number of red beads:
The number of red beads is:
[tex]\Rightarrow40-16=24\text{ beads}[/tex]Ratio of red beads to white beads:
The ratio is given to be:
[tex]red\colon white=24\colon16[/tex]We can divide through by 8 to get the simplified form, such that:
[tex]red\colon white=3\colon2[/tex]The ratio is 3 : 2.
