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miskamm [114]
3 years ago
5

Together, Preston and Horatio have 49 video games. Horatio has 11 more games than Preston. How many games does each person have

?
Mathematics
2 answers:
AfilCa [17]3 years ago
6 0
<span>p + h = 49
h = p + 11  
p + p + 11 = 49
2p = 38
Preston has 19 games
Horatio has 30</span>
nikklg [1K]3 years ago
4 0

Answer:

Preston has 19 games and Horatio has 30 games

Step-by-step explanation:

This problem is solved by a system of equations.  First, the variables are defined:

<u><em>p: Preston video games</em></u>

<u><em>h: Horatio video games</em></u>

It is known that between them they have 49 video games, that is to say that between them they add 49 games. So the first equation is <em>p+h=49</em>.

On the other hand, it is known that Horatio has 11 video games more than Preston. This means that <em>h=p+11</em>

So, now you have the system of equations. To solve it, there are several methods.  In this case the substitution is used, which consists on isolate a variable in one of your equations and replacing on the other equation.

In this case, you have  an isolated variable: h=p+11. By replacing it in p+h=49, you get: <em>p+p+11=49</em>

Now you have an equation with a variable, which can be solved:

2*p+11=49

2*p=49-11

2*p=38

p=\frac{38}{2}

<em>p=19</em>

<em>This means that Preston has 19 video games.</em>

Now you have to determinate how many video games have Horatio. For that you know that h=p+11, and you knwo the value of p. Simply replacing you get the value of h

h=p+11

h=19+11

<em>h=30</em>

<em>This means that Horatio has 30 video games.</em>

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