A fruit company delivers Its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 5 small boxes has a total weight of 90 kilograms. A delivery of 9 large boxes and 7 small boxes has a total weight of 216 kilograms. How much does each type of box weigh?
Weight of each large box: kilogram(s)
Weight of each small box: kilogram(s)

L = large box  S = small box

8L + 3S = 166  Eq (1)

2L + 5S = 67  Eq (2)

Step-by-step explanation:  

A fruit company delivers Its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 5 small boxes has a total weight of 90 kilograms. A

delivery of 9 large boxes and 7 small boxes has a total weight of 216 kilograms. How much does each type of box weigh?

Weight of each large box: kilogram(s)

Weight of each small box: kilogram(s)

45

step-by-step explanation:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: