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3 years ago

PLS HELP

Mathematics

1 answer:

Papessa [141]3 years ago

5 0

Answer:

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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Keywords: Rate of Change, Linear Equations

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