when grace and tony started their jobs their weekly salaries totaled $1300. Ten years later grace's salary has doubled and tonys salary has tripled. Together their weekly salaries now total $3200. How much did they each make 10 years ago?
Thank you for the opportunity to help you with your question! Hope your day is going well!
Let's write down what we do know.
Grace's salary and Tony's salary equaled 1300
Let's arbitrarily call Grace's salary x, and Tony's salary y.
Then x +y=1300.
Next, we know that Grace's salary doubled, and Tony's salary tripled
Well the mystery is 3200, because that is what it listed
Step 2: System of equations
(We need to have a common coeffient, so that when we subtract the two equations we are left with one variable. Let's multiply equation 2 by 2, and solve for y)
2x+2y=2600 (Subtract the two equations)
Thus Tony's salary was 1000. Now lets find Grace's by substituting it into the first equation
Thus Grace's salary was 300.
Grace's salary was $300 dollars, and Tony's was $1000.
Notice if you wanted to check, substitute both salaries into the second equation
Which is the correct amount! .
thank you! Your work was very detailed and helpful
I'm glad I could help!
Content will be erased after question is completed.
Enter the email address associated with your account, and we will email you a link to reset your password.
Forgot your password?