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John has a collectible card that is worth three times as much as the value of Kelly's card. Lia has a card that is worth five times as much as the value of Kelly's card. The value of the three cards together is $477. What is the value of Kelly's card?

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sqdancefan

Answer:

  $53

Step-by-step explanation:

The ratios of value are ...

  J : K = 3 : 1

  L : K = 5 : 1

So, the ratios together are ...

  K : J : L = 1 : 3 : 5

There are a total of 1+3+5 = 9 ratio units corresponding to a total value of $477. Then each must be worth ...

  $477/9 = $53

Kelly's card is worth 1 ratio unit, so is worth $53.

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