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Heather has a collection of magnets (xx) and candles (yy) from her vacations. The number of candles (yy) is 5 less than twice the number of magnets (xx). The total number of items she has is 28. Write the equations that represent this situation.

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Attempt 1 out of 3

The equation that represents the number of candles:

The equation that represents that the total is 28:

1 answer

Let's define the variables based on the information given:

  • Let \( x \) represent the number of magnets.
  • Let \( y \) represent the number of candles.

From the information provided, we can create the following equations:

  1. The number of candles is 5 less than twice the number of magnets: \[ y = 2x - 5 \]

  2. The total number of items (magnets and candles) is 28: \[ x + y = 28 \]

So, the two equations that represent this situation are:

  1. \( y = 2x - 5 \)
  2. \( x + y = 28 \)