Answer:
- Mike bought 20 ride tickets.
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Let r be the number of ride tickets Mike bought and g be the number of game tickets.
From the problem, we know that:
- r + g = 50 (because he bought a total of 50 tickets)
And we also know that:
- 0.70r + 0.50g = 29 (because the ride tickets cost 70 cents and the game tickets cost 50 cents, and he spent a total of $29).
Let's first simplify the second equation, by multiplying both sides by 100 to get rid of decimals:
Now we can use the first equation to solve for g in terms of r:
We can substitute this into the second equation:
- 70r + 50(50 - r) = 2900
- 70r + 2500 - 50r = 2900
- 20r = 400
- r = 20
So Mike bought 20 ride tickets.