Q:

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?

Accepted Solution

A:
Answer:small: 6.25large: 18.25Step-by-step explanation:Set the large boxes as x and the small boxes as y (The weight is the constant).3x+5y=866x+2y=122Now just solve the systems of equations using either substitution or elimination.-6x-10y=-172 multiply the whole equation by -2 to eliminate6x+2y=122, add the equations-8y=-50y= 6.25Plug in y either equation:3x+5(6.25)=863x=86-31.253x=54.75x=18.25Each 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.