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kondor19780726 [428]
2 years ago
13

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

Mathematics
2 answers:
barxatty [35]2 years ago
8 0

Answer:

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

pantera1 [17]2 years ago
3 0

Answer:

5 gifts

Step-by-step 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

<u>Solve the inequality</u>

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

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<h3>What are linear equations?</h3>

Linear equations are equations that have constant average rates of change, slope or gradient

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A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

2x- y = 3

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Make y the subject in the second equation, by adding x to both sides of the equation

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This gives

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