Algebra 1 pre ap

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

Answer 1

I will make a guess that you need to figure out how many hours Eva worked last week tutoring and clearing tables

Let's Setup a few equations and variables.

E = total money earned last week

x = hours tutoring ( and earns $16/hr => $16x)

y = hours clearing tables ( and earns $8/hr => $8y)

last week Eva worked 3 times as many hours clearing tables as tutoring:

y=3x

(clearing tables 'y' is 3 times bigger than torturing 'x')

We know that Eva earned $80:

E= $80

Another equation for E with x hrs and y hrs

E = $16x +$8y

Now plug in $80 for E and 3x for y

80 = 16x + 8(3x)

80 = 16x + 24x

80 = 40x

x = 2

Now solve for y

y=3x

y=3(2)

y = 6

Answer:

Eva worked 2 hrs tutoring and 6 hrs clearing tables

Double check the total Earned equation with the hours worked and the amount Eva made Equation

E = $16x +$8y ; E = $80

$80 = $16(2) + $8(6)

$80 = $32 + $48

$80 = $80

Answer 2

(16x)+8(3x)=80 X is the number of hours

(16x)+(24x)=80 Multiply 8 times 3

40x=80 Add 16 and 24

x=2 Divide both sides of the equal sign by 40 to solve for X

Eva worked 2 hours tutoring and 6 hours clearing tables. Six is three times the hours worked tutoring and adds up to $80 with the amount paid per hour for each job.