PLS HELP A fruit company delivers its fruit in two types of boxes: large and small. This morning, the company made two deliveries. The table below shows the number of boxes in each delivery and the total weight (in kilograms).
Let x be the weight (in kilograms) of each large box.
Let y be the weight (in kilograms) of each small box.

(a). Write a system of equations that could be used to find the weight (in kilograms) of each type of box.

(b). How much does each type of box weigh (in kilogrames)?

A. 5L + 3S = 135

7L + 9S = 255

B. Each small box weighs 13.75 kg

Each large box weighs 18.75 kg

Step-by-step explanation:

Part A:

Weight of each large box = L

Weight of each small box = S

✔️First Delivery:

Weight of 5 large boxes = 5L

Weight of 3 small boxes = 3S

Total weight = 135 kg

Equation that represents this would be:

5L + 3S = 135 › Eqn. 1.

✔️ Second Delivery:

Weight of 7 large boxes = 7L

Weight of 9 small boxes = 9S

Total weight = 255 kg

Equation that represents this would be:

7L + 9S = 255 › Eqn. 2

✔️System of equations would be:

5L + 3S = 135

7L + 9S = 255

Part B:

To find how much each box type weigh, solve simultaneously to find L and S.

5L + 3S = 135 › × 7

7L + 9S = 255 › × 5

35L + 21S = 945

35L + 45S = 1,275

Substraction

-24S = -330

Divide both sides by -24

S = 13.75

Each small box weighs 13.75 kg

Substitute S = 13.75 in eqn. 1 to solve for L

5L + 3(13.75) = 135

5L + 41.25 = 135

5L = 135 - 41.25 (subtraction property of equality)

5L = 93.75.

Divide both sides by 5

L = 18.75

Each large box weighs 18.75 kg

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step-by-step explanation:

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80