SOLUTION: Hi There were some red blue and green rubber bands in a box. 2/5 of the rubber bands were red. There were 40 green rubber bands and 24 more blue rubber bands than red rubber bands

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Question 1208006: Hi
There were some red blue and green rubber bands in a box. 2/5 of the rubber bands were red. There were 40 green rubber bands and 24 more blue rubber bands than red rubber bands. How many were there altogether.
Found 3 solutions by mananth, greenestamps, josgarithmetic:
Answer by mananth(16946)   (Show Source):
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There were some red blue and green rubber bands in a box. 2/5 of the rubber bands were red. There were 40 green rubber bands and 24 more blue rubber bands than red rubber bands. How many were there altogether.
Let total number of rubber bands in the box be x
2/5 of the rubber bands were red. (2/5) x
There were 40 green rubber bands
and 24 more blue rubber bands than red rubber bands
(2/5)x +24

(2/5)x +40 + (2/5)x +24 =x
(2/5)x + (2/5)x+40 +24 =x
(4/5)x +64 = x
x- (4/5)x =64
Multiply equation by 5
5x-4x = 5*64= 320
x=320
The total number of rubber bands is 320.

Answer by greenestamps(13209)   (Show Source):
You can put this solution on YOUR website!

Here is a solution using one of many possible ways of setting the problem up.

Given that 2/5 of the rubber bands were red...

Let 2x = # of red
Then 5x = total number
and 5x-2x = 3x = # of blue and green

40 = # of green (given)
2x+24 = number of blue (24 more than the number of red)

The equation to solve now uses two expressions we have for the number of blue and green:

The total number of rubber bands is 5x = 5(64) = 320

ANSWER: 320

Answer by josgarithmetic(39630)   (Show Source):
You can put this solution on YOUR website!

RED 2t/5 BLUE t-(2t/5)-40 GREEN 40 Total t

",...and 24 more blue rubber bands than red rubber bands. "

and question asks for t.

------------how many rubber bands