Question

3 together, preston and horatio have 49 video games. horatio has 11 more games than preston. how many games does each person have? preston has
games and horatio has
games.

Explanation:

Step1: Define variables

Let $P$ = Preston's games, $H$ = Horatio's games.

Step2: Set up equations

$P + H = 49$; $H = P + 11$

Step3: Substitute H into first equation

$P + (P + 11) = 49$

Step4: Simplify and solve for P

$2P + 11 = 49$
$2P = 49 - 11 = 38$
$P = \frac{38}{2} = 19$

Step5: Calculate H

$H = 19 + 11 = 30$

Answer:

Preston has 19 games and Horatio has 30 games.