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Shawn took a total of $6$ quizzes over the course of $3$ weeks. How many weeks of school will Shawn have to attend this quarter before he will have taken a total of $10$ quizzes? Assume the relationship is directly proportional. $\newline$ _____ weeks

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Solve proportions: word problems

Full solution

Q. Shawn took a total of

6

quizzes over the course of

3

weeks. How many weeks of school will Shawn have to attend this quarter before he will have taken a total of

10

quizzes? Assume the relationship is directly proportional.

\newline

_____ weeks

Identify Known Values: Step $1$ : Identify the known values and set up the proportion. $\newline$ Shawn took $6$ quizzes in $3$ weeks. We need to find out how many weeks it will take him to take $10$ quizzes. $\newline$ Set up the proportion based on the known values: $\newline$ $\frac{6 \text{ quizzes}}{3 \text{ weeks}} = \frac{10 \text{ quizzes}}{x \text{ weeks}}$
Set Up Proportion: Step $2$ : Cross-multiply to solve for $x$ . $6 \times x = 3 \times 10$ $6x = 30$
Cross-Multiply: Step $3$ : Divide both sides by $6$ to isolate $x$ . $\frac{30}{6} = x$ $x = 5$

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