Saving for a Computer

Two friends, Alice and Bob, are saving money to buy a computer. Alice saves $10 each week, while Bob saves $14 each week. After 5 weeks, they both combine their savings.

Write a system of linear equations that represents the total amount of money saved by each individual after w weeks. Determine how many weeks it will take for their combined savings to equal $180.

Let A represent the total amount saved by Alice and B represent the total amount saved by Bob.

For Alice: $$A = 10w$$

For Bob: $$B = 14w$$

What is the value of w when $$A + B = 180$$?