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Hamburgers and bags of chips were sold at a concession stand. One family paid 8.00 for 2 hamburgers and 3 bags of chips. Another family paid 16.50 for 5 hamburgers and 4 bags of chips. Which system of equations can be used to determine the price in dollars of a hamburget, x, and the price in dollars of a bag chips, y? 3x+2y=8 Din 4x+5y=16.5 5x+4y=8 Din) 2x+3y=16.5 2x+5y=8 Di) 3x+4y=16.5 2x+3y=8 Di) 5x+4y=16.5

Question

Hamburgers and bags of chips were sold at a concession stand. One family paid 8.00 for 2 hamburgers and 3 bags of chips. Another family paid 16.50 for 5 hamburgers and 4 bags of chips. Which system of equations can be used to determine the price in dollars of a hamburget, x, and the price in dollars of a bag chips, y? 3x+2y=8 Din 4x+5y=16.5 5x+4y=8 Din) 2x+3y=16.5 2x+5y=8 Di) 3x+4y=16.5 2x+3y=8 Di) 5x+4y=16.5

Hamburgers and bags of chips were sold at a concession stand. One family paid 8.00 for 2 hamburgers and 3 bags of chips. Another family paid 16.50 for 5 hamburgers and 4 bags of chips. Which system of equations can be used to determine the price in dollars of a hamburget, x, and the price in dollars of a bag chips, y? 3x+2y=8 Din 4x+5y=16.5 5x+4y=8 Din) 2x+3y=16.5 2x+5y=8 Di) 3x+4y=16.5 2x+3y=8 Di) 5x+4y=16.5

Solution

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VictorMaster · Tutor for 5 years

Answer

### D. $2x + 3y = 8$ and $5x + 4y = 16.5$

Explain

## Step 1: Define Variables<br />### Let $x$ be the price of a hamburger and $y$ be the price of a bag of chips.<br /><br />## Step 2: Formulate Equations<br />### The first family bought 2 hamburgers and 3 bags of chips for $8.00. This can be represented as $2x + 3y = 8$. The second family bought 5 hamburgers and 4 bags of chips for $16.50. This can be represented as $5x + 4y = 16.5$.
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