Arie has 46$ in his account and is saving 8.50 each week Olga has 14$ in her savings account and is saving 12.50 each week after how many weeks will arie and olga have the same amount in their accounts

After 8 weeks Arie and Olga will have the same amount in their accounts

Step-by-step explanation:

Assume that Arie and Olga will have the same amount in their accounts after w weeks

∵ Arie has $46 in his account

∵ He is saving $8.50 each week

∵ He will do that for w weeks

- To find his amount after w weeks add 46 to the product of

   w and 8.50

∴ Arie's amount = 8.50 w + 46

∵ Olga has $14 in her savings account

∵ She is saving $12.50 each week

∵ She will do that for w weeks

- To find her amount after w weeks add 14 to the product of

   w and 12.50

∴ Olga's amount = 12.50 w + 14

∵ They will have the same amount in w weeks

- Equate their amounts

∴ 12.50 w + 14 = 8.50 w + 46

- Subtract 14 from both sides

∴ 12.50 w = 8.50 w + 32

- Subtract 8.50 w from both sides

∴ 4 w = 32

- Divide both sides by 4

∴ w = 8

After 8 weeks Arie and Olga will have the same amount in their accounts