Annie is working furiously to knit scarves and beanies for a craft fair next weekend. Yesterday she completed 3 scarves and 2 beanies, using a total of 22 meters of yarn. The day before, she used 10 meters to knit 1 scarf and 2 beanies. Assuming Annie is using the same pattern and type of yarn for each scarf and beanie, how much yarn does each project require?

It takes 2 meters to make a beanie, and 6 meters to make a scarf

Step-by-step explanation:

Lets make an equation, making scarves S, beanies B, and yarn Y

3s+2b=22y

1s+2b=10y

Solve the equations

2s=12y

s=6y

Each scarf takes 6 meters of yarn

Plug in 6 for s

3(6)+2b=22y

18+2b=22y

2b=4

b=2

Check other equation

1(6)+2b=10y

6+2b=10y

2b=4

b=2

It takes 2 meters to make a beanie, and 6 meters to make a scarft

5

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