Question

Erika opens a savings account with $50 and deposit $10 every month. Robert opens his account with $10 and deposits $20 every month. Write a system of equations and solve to find out when they will have the same amount of money in the bank.

Answer 1

Explanation:

Erika:

Amount after 'x'months = Initial amount + amount per month *x

= 50 + 10x

Robert:

Amount after 'x'months = 10 + 20x

20x + 10 = 50 + 10x

Subtract 10 from both sides

20x = 50 + 10x - 10

20x = 10x + 40

Subtract 10x from both sides

20x - 10x = 40

10x = 40

Divide both sides by 10

x = 40/10

x = 4

After 4 months both will have the same amount