Adelivery truck is transporting boxes of two sizes: large and small. the combined weight of a large box and small box is 80pounds. the truck is transporting 55 large boxes and 60 small boxes. if the truck is carrying a total of 4575 pounds in boxes, how much does each type of box weigh? large: small:

Large; 45 pounds

Small: 35 pounds

Step-by-step explanation:

let x= large and y=small

Set up two equations:

x+y=80

55x+60y=4575

Solve:

x=80-y

Plug this 'x' into your other equation

55(80-y)+60y=4575

Distribute:

4400-55y+60y=4575

Simplify:

5y=175

Divide:

y=35 small boxes

Plug this 'y' into first equation

x+35=80

Solve:

x=45

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)