Question

Bobby's christmas list had 3 more times as many items on it than johnnys list. Johnny asked for 8 fewer items than bobby. How many items were on johnnnys (x) and bobby's (y) christmas list?

Answer 1

The items were on Johnny's list was 5 and Bobby's 13.

Explanation:

Given:

Bobby's christmas list had 3 more times as many items on it than Johnny's list.

Johnny asked for 8 fewer items than bobby.

Now, to find the number of items were on Johnny's and Bobby's christmas list.

Let the number of items on Johnny's list be
`x`.

And let the number of items on Bobby's list be
`y`.

So, as given in question:

Bobby's christmas list had 3 more times as many items on it than Johnny's list:

`y=3+2x.`.......( 1 )

And, Johnny asked for 8 fewer items than bobby:

`y-8=x.`

Now, putting the value of
`y` from equation ( 1 ) in the place of
`y` :

⇒
`3+2x-8=x`

⇒
`2x-5=x`

Adding 5 on both sides we get:

⇒
`2x=x+5`

Subtracting
`x` on both sides we get:

⇒
`x=5.`

Thus, Johnny's list = 5 items.

Now, putting the value of
`x` in equation ( 1 ) we get:

`y=3+2(5)`

⇒
`y=3+2* 5`

⇒
`y=3+10`

⇒
`y=13.`

Hence, Bobby's list = 13 items.

Therefore, the items were on Johnny's list was 5 and Bobby's 13.