A bowl has red,green and blue marbles.There are 95 red marbles.the nuber of blue marbles is 5 timesthe number of green mables altogether red and green marbles are 189 less then blue marbles .how may marbles are there in total
Let's start by using variables to represent the unknown quantities in the problem:
R = number of red marbles
G = number of green marbles
B = number of blue marbles
We know from the problem that:
R = 95 (there are 95 red marbles)
B = 5(G) (the number of blue marbles is 5 times the number of green marbles)
R + G = B - 189 (the total of red and green marbles is 189 less than the number of blue marbles)
We can substitute the values we know into the third equation:
95 + G = 5G - 189
Solving for G:
95 + 189 = 5G - G
284 = 4G
G = 71
Now that we know the number of green marbles, we can use the second equation to find the number of blue marbles:
B = 5(G)
B = 5(71)
B = 355
Finally, we can find the total number of marbles:
Total = R + G + B
Total = 95 + 71 + 355
Total = 521
Therefore, there are 521 marbles in total.