SOLUTION: Brayden is 94 years old. Erin is 34 years old. How many years ago was Brayden's age 5 times Erin's age? (A) Translate the given information into an equation using the variable

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: Brayden is 94 years old. Erin is 34 years old. How many years ago was Brayden's age 5 times Erin's age? (A) Translate the given information into an equation using the variable       Log On


   

Question 992319: Brayden is 94 years old. Erin is 34 years old. How many years ago was Brayden's age 5 times Erin's age?
(A) Translate the given information into an equation using the variable x = how many years ago Brayden's age was 5 times Erin's age. Your equation should contain 94, 34, and 5. Do not simplify your equation.

(B) Brayden's age was 5 times Erin's age years ago.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
Brayden = 94
Erin = 34
x = number of years ago.

94 - x = 5 * (34 - x)

simplify to get 94 - x = 170 - 5x

subtract 94 from both sides of the equation and add 5x to both sides of the equation to get:

-x + 5x = 170 - 94

combine like terms to get:

4x = 76

divide both sides of the equation by 76 to get x = 19

Brayden was 5 * the age of Erin 19 years ago.

94 - 19 = 75
34 - 19 = 15

75 is equal to 5 * 15.

solution is confirmed.

x = 19