Question

The number of nails in the bucket is 50 less than twice a number of screws. Together, there are 400 fasteners in the bucket. How many of each are there ?

Answer 1

There are 250 nails and 150 screws in the bucket.

Explanation:

Let Number of nails in bucket be x.

Also Let number of screws in the bucket be y.

Together, there are 400 fasteners in the bucket.

Hence the equation can be framed as;

`x+y = 400 \ \ \ \ equation \ 1`

Also Given:

The number of nails in the bucket is 50 less than twice a number of screws.

Hence the equation can be framed as;

`x= 2y -50`

Substituting the value of x in equation 1 we get;

`x+y=400\\2y-50+y=400\\3y=400+50\\3y=450\\y= (450)/(3)=150`

Now we have value of y we will substitute in equation 1 we get;

`x+y =400\\x+150 =400\\x =400-150\\x=250`

Hence there are 250 nails and 150 screws in the bucket.