Question

Mikey has a dozen than five times as many flashcards as Macey. If Mikey has 238 flashcards, how many flashcards does Macey have?

Answer 1

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Let define x
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Let the number of flashcards that Macey has be x.
Macey = x
Mikey = 5x - 12

Mike has 238 flashcards.

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Construct the equation and solve x.
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5x - 12 = 238

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Add 12 on both sides.
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5x = 250

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Divide by 5 on both sides.
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x = 50

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Find the number of cards Macey has.
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Macey = x = 50

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Answer: Macey has 50 flashcards.
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Answer 2

We can create an equation from the sentence.

"Mikey has a dozen less than five times as many flashcards as Macey."

We can use 'x' for Mikey's cards and 'y' for Macey's.


`\sf x=5y-12`

Mikey has 238 flashcards, we can plug this in for 'x' in our equation, then solve for 'y' to find out how many flashcards Macey has:


`\sf 238=5y-12`

Add 12 to both sides:


`\sf 250=5y`

Divide 5 to both sides:


`\sf y=\boxed{\sf 50}`

So Macey has 50 flashcards.