Question

Ryan and miles are each saving money. Ryan starts with $150 in his savings account and adds $40 per week. Miles starts with $50 in his savings account and adds $60 each week. Write an equation only to determine after how many weeks Ryan and miles have the same amount of money

Answer 1

Answer:

The answer to your question is 5 weeks

Step-by-step explanation:

Data

Ryan                                      Miles

$150                                      $50

each week = $40                  each week = $60

x = savings

y = time in weeks

Process

1.- Write an equation for Ryan savings

     x = 40y + 150

2.- Write an equation for Miles savings

    x = 60y + 50

3.- Solve the system by Equality

          40y + 150 = 60y + 50

- Solve for y

          40y - 60y = 50 - 150

                   -20y = -100

                         y = -100 / -20

                         y =  5

4.- Conclusion

After 5 weeks, they will have the same amount of money.