The number of red marbles in the bag is 19 and the number of blue marbles is 8.
<u>Explanation:</u>
Let R be the number of red marbles
Let B be the number of blue marbles
According to the question,
R + B = 27 (Total number of marbles is 27
) -1
R = 3B - 5 (Number of red marbles is 5 less than 3 times the number of blue marbles
)
Substitute the right half of the second equation for R in the first equation
3B - 5 + B = 27
Add 5 to each side and combine the Bs
4B = 32
Divide both sides by 4
B = 8
Use this value of B in the first equation
R + 8 = 27
R = 19
Therefore, number of red marbles in the bag is 19 and the number of blue marbles is 8.
