Question

PLEASE HELP!!

(Solving System of Equations from Context)
Jordan is working two summer jobs, making $13 per hour lifeguarding and $10 per hour walking dogs. Last week Jordan earned a total of $177 and worked 3 more hours lifeguarding than hours walking dogs. Determine the number of hours Jordan worked lifeguarding last week and the number of hours he worked walking dogs last week.

Answer 1

Jordan worked 18 hours lifeguarding and 15 hours walking dogs.

Explanation:

To solve this problem, we can set up a system of two equations to represent the given information. Let "L" represent the number of hours Jordan worked lifeguarding and "W" represent the number of hours he worked walking dogs.

The first equation will represent the total amount of money Jordan earned:

13L + 10W = 177

The second equation will represent the difference in hours between the two jobs:

L - W = 3

We can solve this system of equations using either substitution or elimination.

Using substitution, we can solve for one variable in terms of the other and substitute that expression into the other equation to solve for the other variable.

Solving the second equation for L, we get:

L = W + 3

Substituting this expression for L into the first equation, we get:

(W + 3) + 10W = 177

Combining like terms, we get:

11W + 3 = 177

Subtracting 3 from both sides, we get:

11W = 174

Dividing both sides by 11, we get:

W = 15.818181818181818

Since the number of hours worked must be a whole number, we can round down to 15 hours. Substituting this value back into the equation L = W + 3, we get:

L = 15 + 3 = 18

Therefore, Jordan worked 18 hours lifeguarding and 15 hours walking dogs.