Question

Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation? 2 4x + y = 3 13.5x - 13y = 6 x + y = 4 x - y = 6 4x + 6y = 13 3x + 7y = 13.5 4x - 6y = 13 3x - 7y = 13.5

Answer 1

The system of equations that represents the situation where Nancy buys apples and bananas on two separate days is 4x + 6y = 13 and 3x + 7y = 13.5, where x is the cost of one apple and y is the cost of one banana.

Step-by-step explanation:

The student is asking to identify which system of equations best represents the purchasing scenario provided. To define this system, we need to set up two equations based on the information given. Let's let x represent the cost of one apple and y represent the cost of one banana.

On Monday, Nancy purchased 4 apples and 6 bananas for a total of 13 dollars, which gives us the equation:

• 4x + 6y = 13

On Wednesday, she bought 3 apples and 7 bananas for a total of 13.50 dollars, resulting in the following equation:

• 3x + 7y = 13.5

Thus, the system of equations that represents the situation is:

• 4x + 6y = 13
• 3x + 7y = 13.5

Answer 2

Explanation

Step 1

let x represents the price of 1 apple

let x represents the price of 1 banana

then

. On Monday she purchased 4 apples and 6 bananas for a total of $13

so ,