A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a total weight of 141 kilograms. A
delivery of 7 large boxes and 9 small boxes has a total weight of 273 kilograms. How much does each type of box weigh?

Respuesta :

5 large box weight = 93.75

7 large box weight = 131.25

3 small box weight = 47.25

9 small box weight = 141.75

As per given question , let us consider large boxes x and small boxes y

then we will 2 algebric equations from the question

5x + 3y = 141    (1)

7x + 9y = 273   (2)

now by using elimination method we will eliminate y term and will get x value , x = 18.75

now putting x value in equation 1 we will get y value , y = 15.75

5x + 3y  = 141

18.75 × 5 + 3y = 141

93.75 + 3y = 141

3y = 47.25

y = 15.75

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