Huang buys 3 shirts that each cost the same amount, a pair of pants that cost $12, and he pays with a $100 bill. Which
expression represents the amount of change Huang should receive? Select three options.
100 - (12(3x))
100-(3x+12)
(100 – 12) – 3x
(100 – 12)(x+x+x)
100 - (x+x+x) - 12
What the answer

Respuesta :

Answer:

(100 – 12) – 3x

Step-by-step explanation:

(100 – 12) – 3x would be the correct answer because:

100 is the total amount he paid

12 is the cost of pants

because we don't know the price of shirts yet so it would be called x

He buy in total of 3 shirts so the equation for the price would be 3 * x = 3x

So it would be:

total money paid - pants costs - shirts cost

= 100 - 12 - 3x or (100 - 12) -3x

Hope this helped :3

  • 100 – (3x + 12)
  • (100 - 12x) - 3x
  • 100 - (x + x + x) - 3x)

Further explanation

Given:

Huang buys

  • 3 shirts that each cost the same amount,
  • a pair of pants that cost $12,

and he pays with a $100 bill.

Question:

Which expression represents the amount of change Huang should receive?

The Process:

We try to solve a word problem about the single variable equation.

  • Let the price of the shirt be x (in USD) per piece because the price is unknown.
  • Huang buys 3 shirts at the same unit price. The total price of the shirt formed an equation [tex]\boxed{ \ 3 \cdot x = 3x \ }[/tex]
  • Also, he buys a pair of pants that cost $12.
  • Next, he pays for the purchase with a $100 bill at the cashier.

Calculate and prepare a total purchases.

Total purchases = shirts costs + pants costs

Total purchases is [tex]\boxed{ \ 3x + 12 \ (in \ USD) \ }[/tex]

Let us determine the expression that represents the amount of change Huang should receive.

The amount of change is total payments subtracted by total purchases.

Thus the three expressions of the amount of change are as follows:

  • [tex]\boxed{\boxed{ \ 100 - (3x + 12) \ }}[/tex]
  • [tex]\boxed{ \ 100 - 3x - 12 \ } \rightarrow \boxed{\boxed{ \ (100 - 12x) - 3x) \ }}[/tex]
  • [tex]\boxed{ \ 100 - 3x - 12 \ } \rightarrow \boxed{\boxed{ \ 100 - (x + x + x) - 3x) \ }}[/tex]

Notes:

[tex]\boxed{ \ a - (b + c) \rightleftharpoons (a - b - c) \ }[/tex]

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Keywords: Huang buys 3 shirts, that each cost the same amount, a pair of pants that cost $12, and he pays with a $100 bill, an  expression represents the amount of change, select three options, a word problem, the single variable equation

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