Sofia is knitting a scarf. For every 45 pieces of blue yarn she uses, she uses 18 pieces of red yard. What equation can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r, that Sofia uses when knitting a scarf?

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]

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