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

The answer to your question is 5 weeks

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.