Question

Ayana has saved $200 and spends $25 each week. Michelle just started saving $15 per week. In how many weeks will Ayana and Michelle have the same amount of money saved?

Answer 1

After 5 weeks both will have the same amount.

Explanation:

Framing algebraic expressions and solving:

Ayana:

Amount saved = $200

Each week, Ayana is spending $25. Let the number of weeks be 'x'.

Amount spent in 'x' week = 25*x = 25x

To find the remaining amount, subtract 25x from the total ($200).

Amount remaining after x weeks = 200 - 25x

Michelle:

Each week, Michelle is saving $15. Let the number of weeks be 'x'.

Amount saved in 'x' week = 15*x = 15x

Equate the two expressions, as the money after x weeks are same with both.

15x = 200 - 25x

15x + 25x = 200

40x = 200

x = 200 ÷ 40

x = 5 weeks

After 5 weeks both will have the same amount.