A bag contains white marbles and yellow marbles, 24 in total. The number of white marbles is 9 less than 2 times the number of y

Question

4 years ago

10

ellow marbles. How many white marbles are there?

1 answer:

Zinaida [17] · Answer 1 · 2022-02-05T02:56:23+03:00

There are 13 white marbles in the bag.

Step-by-step explanation:

Given,

Total number of marbles = 24

Let,

x represent the number of white marbles.

y represent the number of yellow marbles.

According to given statement;

x+y=24 Eqn 1

x = 2y-9 Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$(2y-9)+y=24\\2y-9+y=24\\3y=24+9\\3y=33$

Dividing both sides by 3

$\frac{3y}{3}=\frac{33}{3}\\y=11$

Putting y=11 in Eqn 2

$x=2(11)-9\\x=22-9\\x=13$

There are 13 white marbles in the bag.

Keywords: linear equation, substitution method

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