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A casino pays players with chips that are either turquoise- or violet- colored. If each turquoise- colored chip is worth

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A casino pays players with chips that are either turquoise- or violet- colored. If each turquoise- colored chip is worth t dollars, and each violet- colored chip is worth v dollars, where t and v are integers, what is the combined value of four turquoise- colored chips and two violet- colored chips?

1) The combined value of six turquoise- colored chips and three violet- colored chips is 42 dollars.
2) The combined value of five turquoise- colored chips and seven violet- colored chips is 53 dollars.

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Re: A casino pays players with chips that are either turquoise- or violet- colored. If each turquoise- colored chip is w

by Fabriotel » Thu Dec 28, 2023 1:45 pm
This seems like a classic algebra problem. To find the combined value of the chips, we need to figure out the values of t and v.
From statement 1, we can set up an equation: 6t + 3v = 42. Simplifying, we get 2t + v = 14.
Now, statement 2 gives us another equation: 5t + 7v = 53.
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