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Mandy and her friend Sarah are knitting scarves for the homeless. Mandy had already completed 5 scarves and has committed to making 3 more scarves per day. Sarah, who hasn't completed any scarves yet, has more free time and can make 4 scarves per day. At some point, Sarah will catch up and they will both have completed the same number of scarves. How long will that take?

Write a system of equations, graph them, and type the solution.

1 Answer

3 votes
Let d=days and then create these expressions

Mandy: 3d + 5
Sarah: 4d

Now set these equal to each other and solve for d

3d + 5=4d
-3d. -3d
——————-
5 = d

It will take 5 days
User Eric Frazer
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