Answer:
After 5 weeks both will have the same amount.
Step-by-step 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.
