Afruit company delivers its fruit in two types of boxes: large and small. a delivery of 3 large boxes and 2 small boxes has a total weight of 73 kg. a delivery of 8 large boxes and 4 small boxes has a total weight of 177 kg. how much does each type of box weigh?

Step-by-step explanation:

3L + 2S = 73 multiply by -2

8L + 4S = 177

-6L - 4S = - 146 (result of multiplying by -2)

8L + 4S = 177

add

2L = 31

L = 31/2

L = 15.5 <=== large boxes weigh 15.5 kg (or 15 1/2 kg)

3L + 2S = 73

3(15.5) + 2S = 73

46.5 + 2S = 73

2S = 73 - 46.5

2S = 26.5

S = 26.5 / 2

S = 13.25 <=== small boxes weigh 13.25 kg (or 13 1/4 kg)

a - base

b - exponent

so,

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!