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
r = 95
b = 5g
r+g = b-189
95+g = 5g-189
4g = 284
g = 71
so, b = 355
95+71+355 = 521
red = 95
blue = 5 x green
red + green = blue -189
replace with what we know from above.
95 + green = 5 x green - 189
95 + g = 5g -189
194 = 6g
divide by 6 to find number of green.
Multiply that number times 5 to get the number of blue marbles.
Let's break down the information given:
1. There are 95 red marbles.
2. The number of blue marbles is 5 times the number of green marbles.
3. The total number of red and green marbles is 189 less than the number of blue marbles.
Let's find the number of green marbles:
Let the number of green marbles be x.
According to the second statement, the number of blue marbles is 5 times the number of green marbles, which means there are 5x blue marbles.
Now let's calculate the total number of red and green marbles:
The total number of red and green marbles is given by the sum of the number of red marbles (95) and the number of green marbles (x): 95 + x.
According to the third statement, this sum is 189 less than the number of blue marbles (5x):
95 + x = 5x - 189
Now let's solve this equation for x:
Subtract x from both sides: 95 = 4x - 189
Add 189 to both sides: 284 = 4x
Divide both sides by 4: 71 = x
So, there are 71 green marbles.
Now let's find the number of blue marbles:
Since the number of blue marbles is 5 times the number of green marbles, there are 5 * 71 = 355 blue marbles.
Finally, to find the total number of marbles, we add up the number of red, green, and blue marbles:
Total = Red + Green + Blue
Total = 95 + 71 + 355
Total = 521
So, there are 521 marbles in total.
To find the total number of marbles, we need to determine the number of blue and green marbles.
Let's denote the number of green marbles as 'x'.
Therefore, the number of blue marbles is 5 times the number of green marbles, which is 5x.
The total number of red and green marbles is 189 less than the number of blue marbles:
95 + x = 5x - 189
To solve this equation, let's simplify it:
4x = 284
Now, we can solve for 'x':
x = 284/4
x = 71
Therefore, the number of green marbles is 71.
And the number of blue marbles is 5 * 71 = 355.
Finally, to find the total number of marbles, we add the number of red, green, and blue marbles:
Total = 95 + 71 + 355
Total = 521
So, there are a total of 521 marbles in the bowl.