Question

bobby’s christmas list had 3 more than twice as many items on it than johnny’s list. johnny asked for 8 fewer items than bobby. how many items were on johnny’s (x) and bobby’s (y) christmas lists?

Answer 1

Answer:

Johnny had 5 items and Bobby had 13 items.

Step-by-step explanation:

Let us assume that Johnny has x items and Bobby has y items in their list.

Bobby had 3 more than twice as many items on it than Johnny. So,

$\Rightarrow y=3+2x$  ----------1

Johnny asked for 8 fewer items than bobby. So,

$\Rightarrow y-8=x$  -----------2

Putting the value of x from equation 2 in equation 1, we get

$\Rightarrow y=3+2(y-8)$

$\Rightarrow y=3+2y-16$

$\Rightarrow 2y-y=16-3$

$\Rightarrow y=13$

Putting the value of y in equation 2,

$\Rightarrow 13-8=x$

$\Rightarrow x=5$

So, Johnny had 5 items and Bobby had 13 items.