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Xavier and Shannon both tutor on the weekends. Xavier made $63$ $\$$ after $3$ hours of tutoring. Shannon made $95$ $\$$ after $5$ hours of tutoring. Who charges more per hour? $\newline$ Choices: $\newline$ (A)Xavier $\newline$ (B)Shannon

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Evaluate two-variable equations: word problems

Full solution

Q. Xavier and Shannon both tutor on the weekends. Xavier made

63

\$

after

3

hours of tutoring. Shannon made

95

\$

after

5

hours of tutoring. Who charges more per hour?

\newline

Choices:

\newline

(A)Xavier

\newline

(B)Shannon

Calculate Xavier's hourly rate: Calculate Xavier's hourly rate. $\newline$ Xavier's total earnings = $\$63$ $\newline$ Hours worked = $3$ $\newline$ Hourly rate = Total earnings $\div$ Hours worked $\newline$ Hourly rate = $\$63 \div 3 = \$21$
Calculate Shannon's hourly rate: Calculate Shannon's hourly rate. $\newline$ Shannon's total earnings = $\$95$ $\newline$ Hours worked = $5$ $\newline$ Hourly rate = Total earnings $\div$ Hours worked $\newline$ Hourly rate = $\$95 \div 5 = \$19$
Compare hourly rates: Compare the hourly rates of Xavier and Shannon. $\newline$ Xavier's hourly rate = $\$21$ $\newline$ Shannon's hourly rate = $\$19$ $\newline$ Since \$21 > \$19, Xavier charges more per hour than Shannon.

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