Answer:
Maximum number of gift cards she can purchase = 33
Reward points left with her = 48
Step-by-step explanation:
Let Albert's mom buys the number of gift cards = x
Points for each gift card = 75
Total points consumed to buy x gift cards = 75x
If total points with Albert's mom = 2523
So the remaining points with her = (2523 - 75x)
Inequality representing the remaining points will be,
(2523 - 75x) ≥ 0
75x ≤ 2523
x ≤ [tex]\frac{2523}{75}[/tex]
x ≤ 33.64
Maximum number of cards she can buy = 33
Therefore, reward points with her = 2523 - (75 × 33)
= 2523 - 2475
= 48