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Algebra / Linear equations in two variables Difficulty: Easy

A food truck buys forks for $dollar sign 0.04$ each and plates for $dollar sign 0.48$ each. The total cost of $x$ forks and $y$ plates is $dollar sign 661.76$ . Which equation represents this situation?

$0.48 x - 0.04 y = 661.76$

$0.04 x - 0.48 y = 661.76$

$0.48 x + 0.04 y = 661.76$

$0.04 x + 0.48 y = 661.76$

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Explanation

Choice D is correct. It’s given that the food truck buys forks for $dollar sign 0.04$ each. Therefore, the cost, in dollars, of $x$ forks can be represented by the expression $0.04 x$ . It’s also given that the food truck buys plates for $dollar sign 0.48$ each. Therefore, the cost, in dollars, of $y$ plates can be represented by the expression $0.48 y$ . Since the total cost of $x$ forks and $y$ plates is $dollar sign 661.76$ , the equation $0.04 x + 0.48 y = 661.76$ represents this situation.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect. This equation represents a situation in which the food truck buys forks for $dollar sign 0.48$ each and plates for $dollar sign 0.04$ each.