contestada

In a video game green gems are worth 5 points and blue gems are worth 10 points. Eric collects 25 gems and earned 160?points form his gems. Find how many green gems and how many blue gems Eric collected.

Respuesta :

absor201

Eric collected 18 green gems and 7 blue gems.

Step-by-step explanation:

Let,

Green gems = x

Blue gems = y

One green gem = 5 points

One blue gem = 10 points

According to given statement;

x+y=25   Eqn 1

5x+10y=160   Eqn 2

Multiplying Eqn 1 by 5;

[tex]5(x+y=25)\\5x+5y=125\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 3 from Eqn 2;

[tex](5x+10y)-(5x-5y)=160-125\\5x+10y-5x-5y=35\\5y=35[/tex]

Dividing both sides by 5;

[tex]\frac{5y}{5}=\frac{35}{5}\\y=7[/tex]

Putting y=7 in Eqn 1;

[tex]x+7=25\\x=25-7\\x=18[/tex]

Eric collected 18 green gems and 7 blue gems.

Keywords: linear equations, subtraction

Learn more about linear equations at:

  • brainly.com/question/4168505
  • brainly.com/question/4228574

#LearnwithBrainly

Otras preguntas