the bill for five glasses of apple juice and four

To find the cost of one glass of apple juice and one salad, we can set up a system of equations based on the information provided.

Setting Up the Equations

Let:

• x = cost of one glass of apple juice
• y = cost of one salad

From the first bill, we have:

5x + 4y = 9.50 (1)

From the second bill, we have:

4x + 5y = 10.30 (2)

Solving the Equations

Now, we can solve these equations simultaneously. First, let's multiply equation (1) by 5 and equation (2) by 4 to eliminate y:

25x + 20y = 47.50 (3)

16x + 20y = 41.20 (4)

Subtracting the Equations

Next, we subtract equation (4) from equation (3):

(25x + 20y) - (16x + 20y) = 47.50 - 41.20

This simplifies to:

9x = 6.30

So, x = 0.70.

Finding the Cost of Salad

Now that we know x, we can substitute it back into one of the original equations to find y. Using equation (1):

5(0.70) + 4y = 9.50

This simplifies to:

3.50 + 4y = 9.50

Subtracting 3.50 from both sides gives:

4y = 6.00

Thus, y = 1.50.

Final Calculation

The cost of one glass of apple juice and one salad is:

x + y = 0.70 + 1.50 = 2.20

Therefore, the total bill for one glass of juice and one salad is $2.20.