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5candy + 5gum = 11 (we don't know the unit of the 11)

5gum = 1/2 of (5candy) so wherever we see "5gum", we can write "1/2 of (5candy)" instead. OK ?

Let's do that with the first line at the top.

5candy + 1/2 of (5candy) = 11

5candy + 21/2candy = 11

71/2candy = 11

1candy = 11/71/2

5candy = 5 x 11/71/2 = 55/71/2 = 71/3

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Q: What is the cost of one piece of gum if five pieces of gum and five pieces of candy cost 11 when the cost of the 5 pieces of gum is half the cost of the 5 pieces of candy?
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