Final answer:
To find how much money Mandy has after her purchase, we subtract the amount spent on potatoes (calculated by multiplying the quantity x by the price per kilogram, 36 cents) from her initial money, 24y cents. The result is presented in factorized form as 12(2y - 3x) cents.
Step-by-step explanation:
The question asks us to calculate how much money Mandy has left after buying x kg of potatoes that cost 36 cents per kilogram when she initially has 24y cents. To find the amount spent on the potatoes, we multiply the quantity (x kg) by the price per unit (36 cents per kg).
Amount spent on potatoes = x kg × 36 cents/kg
We then subtract the amount spent from how much she has initially:
Mandy's remaining money (in cents) = Initial money - Amount spent on potatoes
Mandy's remaining money (in cents) = 24y cents - (x × 36) cents
To express this in factorized form:
Mandy's remaining money (in cents) = 24y - 36x
Final factorized form: Since both terms are divisible by 12, we can factor it out:
Mandy's remaining money (in cents) = 12(2y - 3x)