Answered

There are 27 red or blue marbles in the bag. The number of red marbles is 5 less than 3 times of the blue marbles. How many red marbles are in the bag? How many blue marbles are in the bag?

Verified Answer :

27=3x-5+x
27+5=4x-5+5
4x=32
4x/4=32/4
x=8
There are 8 blue marbles and 19 red marbles.

calculista

Let

x--------> The number of red marbles

y--------> The number of blue marbles


we know that

\(x+y=27\\ x=27-y\)

equation \(1\)


\(x=3y-5\)

equation \(2\)


equate equation \(1\) and equation \(2\)

\(27-y=3y-5\\ 3y+y=27+5\\ 4y=32\\ y=8\)

\(x=3*8-5\\ x=19\)

therefore


the answer is

The number of red marbles is \(19\)

The number of blue marbles is \(8\)

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