Question

Eva is working two summer jobs, making $16 per hour tutoring and $8 per hour clearing tables. Last week Eva worked 3 times as many hours clearing tables as she worked hours tutoring hours and earned a total of $80. Graphically solve a system of equations in order to determine the number of hours Eva worked tutoring last week, x,x, and the number of hours Eva worked clearing tables last week, yy.

Answer 1

Eva spent 2 hours tutoring and 6 hours clearing tables.

Let x represent the number of hours Eva worked tutoring and y represent the number of hours Eva worked clearing tables.

Eva worked 3 times as many hours clearing tables as she worked hours tutoring hours and earned a total of $80. Hence:

y = 3x

-3x + y = 0    (1)

16x + 8y = 80    (2)

Solving equations 1 and 2 simultaneously gives:

x = 2, y = 6

Eva spent 2 hours tutoring and 6 hours clearing tables.

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