Question

Justin is working two summer jobs, making $8 per hour babysitting and $14 per hour lifeguarding. Last week Justin earned a total of $92 and worked 4 times as many hours babysitting as he worked hours lifeguarding. Determine the number of hours Justin worked babysitting last week and the number of hours he worked lifeguarding last week.

Answer 1

Answer:

Justin worked as a babysitter  8 hours and worked as a lifeguard 2 hours last week

Step-by-step explanation:

Let

x ----> number of hours worked as a babysitter  last week

y ----> number of hours worked as a lifeguard last week

we know that

$8x+14y=92$ ----> equation A

$x=4y$ ----> equation B

Solve the system by substitution

Substitute equation B in equation A

$8(4y)+14y=92$

solve for y

$32y+14y=92$

$46y=92$

$y=2$

Find the value of x

$x=4(2)=8$

therefore

Justin worked as a babysitter  8 hours and worked as a lifeguard 2 hours last week

Answer 2

The hours Justin babysat is 8 hours and he worked as a lifeguard for 2 hours.

Two equations can be derived from the question:

8x + 14y = 92 equation 1

4y = x equation 2

Where:

x = hours Justin babysat

y = hours spent lifeguarding

In order to determine the value of y, substitute for x in equation 1:

8(4y) + 14y = 92

32y + 14y = 92

46y = 92

y = 92/46

y = 2 hours

Substitute for y in equation 2

x = 4 x 2

x = 8 hours

To learn more about simultaneous equations, please check: brainly.com/question/23589883