Two machines in a factory are used to make yarn. In one hour, the two machines make 1,600 yards of yarn. Machine 1 makes twice as much yarn as machine 2. What is the amount of yarn made by each machine in one hour?

Respuesta :

Answer:Machine 1 - 1,067 yards, Machine 2 - 533 yards


Step-by-step explanation:


Answer:

Machine 2 makes yarn in one hour=533.33 yards

Machine 1 makes yarn in one hour=[tex]1066.67 yards[/tex]

Step-by-step explanation:

We are given that two machines  in a factory are used to make yarn .

In one hour, the two machines make 1600 yards of yarn.

We have to find the amount of yarn made by each machine in one hour.

Let machine 2 makes yarn in one hour =x yards

Machine 1 makes yarn in one hour=2x

According to question

[tex]x+2x=1600[/tex]

[tex]3x=1600[/tex]

[tex]x=\frac{1600}{3}=533.33 yards[/tex]

Machine 2 makes yarn in one hour=533.33 yards

Machine 1 makes yarn in one hour=[tex]2\times 533.33=1066.67 yards[/tex]