At the arcade, nick spent 203 tokens on videogames in seven days. each day he spent five more tokens than the previous day. how many tokens did nick spend on the third day at the arcade?

Suppose nick spent x number of tokens on day 1

So he spent x + 5 on day 2

He spent x + 10 on day 3

He spent x + 15 on day 4

He spent x + 20 on day 5

On day 6 he spent x + 25

And on day 7 he spent x + 30

So in all he spent

x + x + 5 + x + 10 + x + 15 + x + 20 + x + 25 + x + 30

= 7x + 105

But total token spent = 203

So

7x + 105 = 203

Subtracting 105 from both sides

7x = 203 - 105

7x = 98

Dividing by 7 on both sides

x = 14

So on third day he spent x + 10

= 14 + 10

= 24 tokens

Tokens spent on day 3 = 24

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