Answered

A fruit 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 


54


kilograms. A delivery of 


5


large boxes and 


6


small boxes has a total weight of 


108


kilograms. How much does each type of box weigh?

Verified Answer :

taskmasters

A fruit company delivers
fruits

=> 3 large boxes and 2 small boxes weighs = 54 kilograms

=> 5 large boxes and 6 small boxes weighs = 108 kilograms

Now, let’s find how does each type of box weigh

=> 3a + 2b = 54, where a and b are the unknown weights of each boxes

=> 5a + 6b = 108

Multiply the first given equation by 3 on both side to cross out letter B
and find the value of A.

=> 3a(3) + 2b(3) = 54(3)

=> 9a + 6B = 162

Now subtract this by the second equation:

=> 9a + 6B = 162 – 5a + 6b =106

=> 4a = 56

=> 4a / a =56 /4

=> a = 14 – The weight of large boxes

Now, let’s find the B

=> 3(14) + 2b = 54

=> 42 + 2b = 54

=> 2b = 54 – 42

=> 2b = 12

=> 2b/2= 12/2

=> b = 6 = the weight of small boxes





flowergarden2

Answer:

The answers are

large box - 13.5

small box- 6.75

Step-by-step explanation:

systems of equations

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