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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?



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

[tex] x+y=27\\ x=27-y [/tex]

equation [tex] 1 [/tex]


[tex] x=3y-5 [/tex]

equation [tex] 2 [/tex]


equate equation [tex] 1 [/tex] and equation [tex] 2 [/tex]

[tex] 27-y=3y-5\\ 3y+y=27+5\\ 4y=32\\ y=8 [/tex]

[tex] x=3*8-5\\ x=19 [/tex]

therefore


the answer is

The number of red marbles is [tex] 19 [/tex]

The number of blue marbles is [tex] 8 [/tex]

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