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This question is about systems of linear equations.
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We have a situation where the blue team orders 10 hot dogs and five drinks, which costs a total of $35.
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The green team, on the other hand, buys seven hot dogs and four drinks, which costs $25 .25.
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We want to find how much each hot dog costs and how much each drink costs.
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Using this information.
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So to do that, first let's give variable names to the costs of hot dogs and drinks.
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Let's call the cost per hot dog x and the cost per drink y.
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So how can we make the two equations we need to solve for these two variables? well, we know the total costs of each team's order.
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We know the total cost of each team's order.
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And since we know the numbers of each item that each team buys, and we're giving names to the costs for hot dog and for drink, we can figure out how much it costed the blue team.
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Or we can identify how much it costed the blue team to buy 10 hot dogs.
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One hot dog costs x, and so 10 hot dogs cost 10x.
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Similarly, five drinks cost 5y since each drink is just one y...