Question

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

Answer 1

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.