Question

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 x of used video games and the number y of new video games he can buy?

Answer 1

`10x + 20y = 80`

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 :

`Ax + By = C` ---(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.

⇒
`10x + 20y = 80`

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 :

`10x + 20y = 80`

Answer 2

10x+20y=80

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.