Answer:
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
