Question

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?

Answer 1

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

Explanation:

Answer 2

Machine 2 makes yarn in one hour=533.33 yards

Machine 1 makes yarn in one hour=
`1066.67 yards`

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

`x+2x=1600`

`3x=1600`

`x=(1600)/(3)=533.33 yards`

Machine 2 makes yarn in one hour=533.33 yards

Machine 1 makes yarn in one hour=
`2* 533.33=1066.67 yards`