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 b

Question

4 years ago

5

lue marbles. How many yellow marbles are there?

1 answer:

GalinKa [24] · Answer 1 · 2022-01-17T22:17:59+03:00

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;

$(5y-4)+y=80\\5y-4+y=80\\6y=80+4\\6y=84\\y=14$

Putting y=14 in Eqn 2;

$x=5(14)-4\\x=70-4\\x=66$

There are 66 yellow marbles in the bag.

Keywords: Linear equations, substitution method

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