Systems of Linear Equations

Medium Heart Of Algebra Systems Of Linear Equations And Inequalities

Eva and Chris are running a small business selling handmade candles. Eva sells her candles for $8 each, while Chris sells his at $10 each. Together, they sold a total of 50 candles during a craft fair, earning a total of $420.

Let x represent the number of candles sold by Eva, and y represent the number of candles sold by Chris. Based on this information, which of the following systems of equations represents the situation?

$$x + y = 50$$<br> $$8x + 10y = 420$$

$$x + y = 40$$<br> $$8x + 10y = 400$$

$$x + y = 50$$<br> $$8x + 10y = 480$$

$$x + y = 60$$<br> $$8x + 10y = 420$$

Hint

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