Drew has 50 red,green, and blue marbles. He has six more red marbles than blue marbles and four fewer green marbles than blue marbles.how many blue marbles does Drew have?
+3454 He has 50 marbels made up of the colors green, blue, and red. Let's have r = red marbles, b = blue marbles, and g = green marbels.
This means:
r + b + g = 50
He has 6 more red marbels than blue marbels. This mean r = b+6, right? Let's put this in for r.
r + b + g = 50
(b+6) + b + g = 50
He has 4 fewer green marbles than blue marbels, so g = b-4. Let's put that in.
(b+6) + b + g = 50
(b+6) + b + (b-4) = 50
And now we just solve for b, which tells us the number of blue marbels.
(b+6) + b + (b-4) = 50
b + 6 + b + b - 4 = 50
b + b + b + 2 = 50
3b + 2 = 50
- 2 - 2
-------------
3b = 48
÷3 ÷3
------------
b = 16
So there are 16 blue marbels.
+3454 He has 50 marbels made up of the colors green, blue, and red. Let's have r = red marbles, b = blue marbles, and g = green marbels.
This means:
r + b + g = 50
He has 6 more red marbels than blue marbels. This mean r = b+6, right? Let's put this in for r.
r + b + g = 50
(b+6) + b + g = 50
He has 4 fewer green marbles than blue marbels, so g = b-4. Let's put that in.
(b+6) + b + g = 50
(b+6) + b + (b-4) = 50
And now we just solve for b, which tells us the number of blue marbels.
(b+6) + b + (b-4) = 50
b + 6 + b + b - 4 = 50
b + b + b + 2 = 50
3b + 2 = 50
- 2 - 2
-------------
3b = 48
÷3 ÷3
------------
b = 16
So there are 16 blue marbels.
