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?

Respuesta :

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,

[tex]\Rightarrow y=3+2x[/tex]  ----------1

Johnny asked for 8 fewer items than bobby. So,

[tex]\Rightarrow y-8=x[/tex]  -----------2

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

[tex]\Rightarrow y=3+2(y-8)[/tex]

[tex]\Rightarrow y=3+2y-16[/tex]

[tex]\Rightarrow 2y-y=16-3[/tex]

[tex]\Rightarrow y=13[/tex]

Putting the value of y in equation 2,

[tex]\Rightarrow 13-8=x[/tex]

[tex]\Rightarrow x=5[/tex]

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