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

Johnny had 5 items and Bobby had 13 items.

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.