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Starting with some gold coins and some empty
treasure chests, I tried to put 18 gold coins in
each treasure chest, but that left 4 treasure
chests empty. So instead I put 12 gold coins in
each treasure chest, but then I had 6 gold coins
left over. How many gold coins did I have?

Respuesta :

Answer:

162

Step-by-step explanation:

Ver imagen Lovely200

The number of gold coins you have is 162

Let

the number of treasure chest = x

He tried to put 18 gold coins in each treasure chest, but that left 4 treasure chests empty.  Therefore,

  • number of coins = 18(x - 4)

So he puts 12 gold coins in each treasure chest but then had 6 coins extra. Therefore,

  • number of coins = 12(x) + 6

Combined Equation:

  • 18(x - 4) = 12x + 6

18x - 72 = 12x + 6

18x - 12x = 6 + 72

6x = 78

divide both sides by 6

x = 78 / 6

x = 13

Therefore, the number of gold coins can be computed as follows:

  • number of gold coins = 18(13 - 4) = 18(9) = 162 gold coins

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