A shipment of computer monitors, some weighing 25lb and the others weighing 40lb each, has a total weight of 680lb. If there are 20 monitors altogether, how many weigh 40lb?

Respuesta :

Answer:

The answer to your question is 12 monitors

Step-by-step explanation:

Data

v = monitors weighing 25 lb

f = monitors weighing 40 lb

Total weight = 680 lb

Total monitors = 20

Process

1.- Write equations

         v + f = 20          ------------------ (l)

       25v + 40f = 680  -----------------(II)

2.- Solve the system by elimination

Multiply equation l by -25

       -25v -  25f  = - 500

        25v + 40f =    680

          0    + 15 f = 180

Solve for f

                       f = 180 / 15

                       f = 12

3.- Find the value of v

          v + 12 = 20

          v = 20 - 12

          v = 8

4.- Conclusion

      There are 12 monitors weighing forty lb

       There are 8 monitors weighing 25 lb

Otras preguntas