Question

A storehouse contains food for cows during the winter, when they cannot graze. Let y = 960/x, where x is the number of days and y is the number of cows the food will feed.

How many cows could be fed for 4 days?

How many cows could be fed for 12 days?

If farmer Bill has 85 cows, for how many days could he feed his herd and his neighbors herd of 35 cows?

Answer 1

a) 240 cows

b)80 cows

c) 8 days

Answer 2

1) 240 cows.

2) 80 cows.

3) 8 days.

Explanation:

1) To find the number of cows that could be fed for 4 days, you need to substitute
`x=4` into the equation, then:

`y=(960)/(x)\\\\y=(960)/(4)\\\\y=240`

2) To find the number of cows that could be fed for 12 days, you need to substitute
`x=12` into the equation, then:

`y=(960)/(x)\\\\y=(960)/(12)\\\\y=80`

3) Farmer Bill has two feed his 85 cows and 35 cows of his neighbors, then the total number of cows he needs to feed is:

`y=85+35\\y=120`

Substitute this value into the equation and solve for "x" to find the number of days he could feed them:

`120=(960)/(x)\\\\120x=960\\\\x=(960)/(120)\\\\x=8`