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

Answer:

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

Step-by-step 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:

$y=3+2(5)$

⇒ $y=3+2\times 5$

⇒ $y=3+10$

⇒ $y=13.$

Hence, Bobby's list = 13 items.

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