Dwayne has $80 to spend on video games. Used video games cost $10 each, and new video games cost $20 each. What equation in standard form determines the number
Question
2 Answer

1. User Answers HomeWorkStudy
Answer:
10x+20y=80
Stepbystep explanation:
Firstly, here is the formula for standard form, in Algebra.
ax+by=c
a and b would be the used and new costs of the video games, while x and y would be the number of video games bought, and then c wouldn’t be the number of games bought, instead it would be the cost, $80, in this case.

2. User Answers Phoca
Answer:
[tex]10x + 20y = 80[/tex]
Stepbystep explanation:
Given :
Dwayne has $80 to spend on video games.
Used video games cost $10 each, and new video games cost $20 each.
To Find : Standard form determines the number x of used video games and the number y of new video games he can buy.
Solution :
We are given that :
x denotes the number of used video games .
y denotes the no. of new video games.
The standard form of equation is :
[tex]Ax + By = C[/tex] (A)
Now cost of 1 used video game is $10
So, cost of x used video games is $10x
Now cost of 1 new video game is $20
So, cost of y new video games is $20y
Since we are given that Dwayne has $80 to spend on video games.
⇒[tex]10x + 20y = 80[/tex]
Comparing this with standard form(A) we can see that it is in the standard form of equation .
Hence , equation in standard form determines the number x of used video games and the number y of new video games he can buy :
[tex]10x + 20y = 80[/tex]