Problem page a delivery truck is transporting boxes of two sizes: large and small. the combined weight of a large box and a small box is 80 pounds. the truck is transporting 55 large boxes and 70 small boxes. if the truck is carrying a total of 4850 pounds in boxes, how much does each type of box weigh?

For this case we propose a system of equations:

x: Variable representing the weight of large boxes

y: Variable that represents the weight of the small boxes

So

We clear x from the first equation:

We substitute in the second equation:

We look for the value of x:

Large boxes weigh 50 pounds and small boxes weigh 30 pounds

Large boxes weigh 50 pounds and small boxes weigh 30 pounds

A large box weighs 50 pounds and a small box weighs 30 pounds.

Step-by-step explanation:

Set up a system of equations.

Let be "l" the weight of a large box and "s" the weight of a small box.

Then:

You can use the Elimination method. Multiply the first equation by -55, then add both equations and solve for "s":

Substitute into an original equation and solve for "l":

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

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i hope this answer !

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