Answer:
[tex]5b=2r[/tex]
Step-by-step explanation:
Given: For every 45 pieces of blue yarn Sofia uses, she uses 18 pieces of red yarn
To find: equation that can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r
Solution:
As for every 45 pieces of blue yarn Sofia uses, she uses 18 pieces of red yarn,
number of pieces of blue yarn / number of pieces of red yarn = [tex]\frac{18}{45}=\frac{2}{5}[/tex]
[tex]\frac{b}{r}=\frac{2}{5}\\ 5b=2r[/tex]
Therefore,
equation that can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r is [tex]5b=2r[/tex]