Question

James is at a gift sale where everything costs $4 (tax included).

James has $50.
James must have at least $28 remaining when he is finished buying
gifts.
What is the greatest number of gifts James can buy?

Answer 1

total money = 50

money remained = 28

money can be used = 50 - 28 = 22

Max item that can be purchased = 22 ÷ 4 = 5

+ 2 remainder.

items buy = 5

total money left = 30

Answer 2

5 gifts

Explanation:

Given information:

• Cost of one gift = $4
• Total money = $50
• Money left after purchasing gifts = at least $28

Let x = greatest number of gifts James can buy

Create an inequality with the given information:

⇒ 50 - 4x ≥ 28

Solve the inequality

Add 4x to both sides:

⇒ 50 - 4x + 4x ≥ 28 + 4x

⇒ 50 ≥ 28 + 4x

Subtract 28 from both sides:

⇒ 50 - 28 ≥ 28 + 4x - 28

⇒ 22 ≥ 4x

Divide both sides by 4

⇒ 22 ÷ 4 ≥ 4x ÷ 4

⇒ 5.5 ≥ x

⇒ x ≤ 5.5

We must round down to 5 as if James buys 6 gifts, he will only have $26 remaining. Therefore, the greatest number of gifts James can buy is 5 gifts.