Question

Robert has seven more than five times the number of video games that Samuel has. The total number of video games that Robert and Samuel have is 25. How many video games does Robert have?

Answer 1

Answer:3

Step-by-step explanation:

5x+7=25

So lets subtract 7 from 25 to get 5x alone...

5x=18

5x/5=x

18/5=3.3

You cant have 0.3 of a video game so the answer is 3

Answer 2

Answer: Robert has 22 video games.

Step-by-step explanation:

Let be "r" the number of video games that Robert has and "s" the the number of video games that Samuel has.

Set up a system of equations:

$\left \{ {{r=5s+7} \atop {r+s=25}} \right.$

You can use the substitution method to solve the system:

- You need to substitute the first equation into the second equation and solve for "s":

$(5s+7)+s=25\\\\6s=25-7\\\\s=\frac{18}{6}\\\\s=3$

- Finally you must substitute the value of "s" into the first equation and evaluate:

$r=5(3)+7\\\\r=22$