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A bag contains yellow marbles and blue marbles, 80 in total. The number of yellow marbles is 4 less than 5 times the number of blue marbles. How many yellow marbles are there?

Respuesta :

absor201

There are 66 yellow marbles in the bag.

Step-by-step explanation:

Let,

Yellow marbles = x

Blue marbles = y

According to given statement;

x+y=80   Eqn 1

x= 5y-4   Eqn 2

Putting value of x from Eqn 2 in Eqn 1;

[tex](5y-4)+y=80\\5y-4+y=80\\6y=80+4\\6y=84\\y=14[/tex]

Putting y=14 in Eqn 2;

[tex]x=5(14)-4\\x=70-4\\x=66[/tex]

There are 66 yellow marbles in the bag.

Keywords: Linear equations, substitution method

Learn more about substitution method at:

  • brainly.com/question/10879401
  • brainly.com/question/10940255

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