Question

Marle placed two orders at the same restaurant last month. In one order, she received 5 trays of lasagna and 3 trays of

garlic bread for $163. In the other order, she received 4 trays of lasagna and 4 trays of garlic bread for $150.80. What is
the price for one tray of lasagna, l, and one tray of garlic bread, g?

Answer 1

To find the price for one tray of lasagna and garlic bread, we can set up a system of equations using the given information and solve for the variables. After solving the system of equations, we find that the price for one tray of lasagna is $24.95 and the price for one tray of garlic bread is $12.75.

Step-by-step explanation:

To find the price for one tray of lasagna, we can set up a system of equations using the given information. Let l represent the price of one tray of lasagna and g represent the price of one tray of garlic bread.

We can set up the equations as follows:

5l + 3g = 163

4l + 4g = 150.80

We can solve this system of equations using the method of substitution or elimination. Let's use the method of substitution:

From the first equation, we can express g in terms of l: g = (163 - 5l) / 3

Substitute this expression for g in the second equation:

4l + 4((163 - 5l) / 3) = 150.80

Simplify and solve for l:

12l + 4(163 - 5l) = 452.40

12l + 652 - 20l = 452.40

-8l + 652 = 452.40

-8l = -199.60

l = 24.95

Substitute this value for l in one of the original equations to find the price of one tray of garlic bread:

5(24.95) + 3g = 163

124.75 + 3g = 163

3g = 38.25

g = 12.75

Therefore, the price for one tray of lasagna is $24.95 and the price for one tray of garlic bread is $12.75

Answer 2

$25.25-lasagna, $12.25-garlic bread

Step-by-step explanation:

5L+3G=163

- 4L+4G=150

______________

4(5L+3G=163)

-5(4L+4G=150)

_____________

20L+12G=652

-20L-20G=-750

_____________

-8G=-98

-8G/-8 = -98/-8

G=$12.25

now plug that into G in any of the 2 equations at the top and you can solve for L(price of lasagna)