Jamie is making a beaded necklace the ratio of blue beads to purple beads is 4:3 if jamie uses 56 blue beads and purple beads to finish her necklace how many of them will be purple

She will use 42 purple beads.

Explanation

We will use a proportion to solve this.

The ratio of blue to purple beads is 4:3, or 4/3.

We know she uses 56 blue beads and an unknown amount, x, of purple beads. This gives us 56/x.

Together, we have

4/3 = 56/x

Cross multiply:

4*x = 3*56

4x = 168

Divide both sides by 4:

4x/4 = 168/4

x = 42