Question

Albert's mom has 2,523 reward points from shopping at an online store. She uses the points to buy gift cards for free cups of coffee. Each gift card costs 75 points. What is the greatest number of gift cards Albert's mom can buy? How many reward points will she have left? Use the drop-down menus to choose the numbers that make the statement true.

Answer 1

Maximum number of gift cards she can purchase = 33

Reward points left with her = 48

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 ≤
`(2523)/(75)`

x ≤ 33.64

Maximum number of cards she can buy = 33

Therefore, reward points with her = 2523 - (75 × 33)

= 2523 - 2475

= 48