Question

A bag contains green marbles and blue marbles,

Answer 1

There are 13 green marbles in the bag.

Step-by-step explanation:

Total marbles = 18

Let,

Green marbles = x

Blue marbles = y

According to given statement;

The number of green marbles is 2 less  than 3 times the number of blue marbles.

x = 3y-2    Eqn 1

x+y=18      Eqn 2

Putting value of x from Eqn 1 in Eqn 2;

$(3y-2)+y=18\\3y-2+y=18\\4y=18+2\\4y=20$

Dividing both sides by 4

$\frac{4y}{4}=\frac{20}{4}\\y=5$

Putting y=5 in Eqn 1

$x=3(5)-2\\x=15-2\\x=13$

There are 13 green marbles in the bag.

Keywords: linear equation, substitution method

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