Respuesta :

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

Answer: 24 beads

Step-by-step explanation:

Jamie is making a beaded necklace having the ratio of blue beads to purple beads as 4:3 and the total beads used by Jamie is 56. This information can be written as:

Ratio of blue heads= 4

Ratio of purple beads= 3

Total ratio of beads= 4+3 = 7

Total beads used = 56 beads

The number of purple beads used will be= 3/7 × 56

= 3 × 8

= 24 beads

The number of purple beads used is 24

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