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Isabela has already taken 16 quizzes during past quarters, and she expects to have 1 quiz during each week of this quarter. How many weeks of school will Isabella have to attend this quarter before she will have taken a total of 26 quizzes?

User FiReTiTi
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1 Answer

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Data:

Quiz taken: 16

Quiz each week: 1

You can express this as a equation:

Q= Total of quizes taken

W= weeks

As each week the number of quizes Q increase in 1 the change is k=1, and Isabela has already taken 16 quizzes. The number of quizzes can be represented as:


Q=Q_0+kW

Q0 is the number of quizzes Isabela has already taken.


Q=16+W

Then, to have a total of 26 quizzes Isabela have to attend:

Q=26

W=?


26=16+W

You can find the number of weeks by clearing of the equation above the W:

Substract in both sides of the equation 16:


26-16=16-16+W
10=WThen, Isabela have to attend 10weeks this quarter to have a total of 26 quizzes

User Antony Hatchkins
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