Two cartons weigh 3x-2 and 2x-3 pounds, respectively. if the average weight of the cartons is 10 pounds, the heavier carton weights how many more pounds than the lighter carton

heavier carton weights 6 pounds more than the lighter carton.

Step-by-step explanation:

Given:

Weigh of Carton 1 =

Weigh of carton 2 =

Average weight of cartons is = 10 pounds.

We need to find the heavier carton weights how many more pounds than the lighter carton.

Solution:

We know that;

Average weight of cartons is equal to sum of weighs of carton 1 and carton 2 and then divided by 2.

framing in equation form we get;

Now multiplying both side by we get;

Adding both side by 1 we get;

Now weigh of Carton 1 =

Weigh of Carton 2 =

now we can say that heavier carton is carton 1 and lighter carton is Carton 2.

We need to find the difference between carton 1 and carton 2.

Difference =

Hence heavier carton weights 6 pounds more than the lighter carton.

step-by-step explanation: