aviannalynn
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HELP??????????????????????????/???????????????????????????????????????????????????/??????????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 86 kilograms. A delivery of 6 large boxes and 2 small boxes has a total weight of 122 kilograms. How much does each type of box weigh?

Respuesta :

wnjmay

Answer:

small: 6.25

large: 18.25

Step-by-step explanation:

Set the large boxes as x and the small boxes as y (The weight is the constant).

3x+5y=86

6x+2y=122

Now just solve the systems of equations using either substitution or elimination.

-6x-10y=-172 multiply the whole equation by -2 to eliminate

6x+2y=122, add the equations

-8y=-50

y= 6.25

Plug in y either equation:

3x+5(6.25)=86

3x=86-31.25

3x=54.75

x=18.25

Each small box weighs 6.25 kilograms, each large box weighs 18.25 kilograms, to check plug in the values to the other equation to see if they add up correctly.

lashonwilliasm39

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