Question

Lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50. Ari buys 3 pounds of apples and 2 pounds of bananas for a total of $5.25. This system of equations represents the situation, where x is the cost per pound of apples, and y is the cost per pound of bananas.

5x + 3y = 8.5

3x + 2y = 5.25

If you multiply the first equation by 2, what number should you multiply the second equation by in order to eliminate the y terms when making a linear combination?

Complete the multiplication and add the equations. What is the result?

What is the price per pound of apples? $

What is the price per pound of bananas? $

Answer 1

Answer:Bro the answer is price per pound of apples is $1.25

and the price per pound of bannanas is $0.75

Answer 2

Answer: The price per pound of apples is $ 1.25 and the price per pound of bananas is $ 0.75.

Step-by-step explanation: Given that lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50 whereas Ari buys 3 pounds of apples and 2 pounds of bananas for a total of $5.25.

We are to find the price per pound of apples and bananas.

The cost per pound of apples is represented by x dollars and the cost per pound of bananas is represented by y dollars.

Then, according to the given information, the system of equations describing the situation is as follows:

Multiplying equation (i) by 2, we have

and multiplying equation (ii) by 3, we have

To eliminate y, we subtract equation (iv) from equation (iii) and we arrive at

From equation (i), we get

Thus, the price per pound of apples is $ 1.25 and the price per pound of bananas is $ 0.75.