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

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): You can put this solution on YOUR website!
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(13200)   (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(39617)   (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
RELATED QUESTIONS
Hi there were a total of 522 blue , red and green beads in a box. After 66 blue beads... (answered by greenestamps)
there are some coloured bands in the box.3/8 are blue,1/4 are red and 5/6 of the... (answered by ewatrrr)
Hi There were 350 marbles in a box. 40% of them are red. There were 10% more red... (answered by math_helper)
Hi There were 350 marbles in a box. 40% of them are red. There were 10% more red... (answered by math_helper)
A box contained some red and green beads . 40% of beads were red. The red beads were... (answered by ikleyn)
Hi there were 350 marbles in a box. 40% of them were red.there were 10% more red than... (answered by greenestamps)
There are some colored bands in a box . 3/8 of them are blue, 1/4 are red and 5/6 of the... (answered by robertb)
A rubber band company manufactures 6,764 rubber bands each minute. They put 88 rubber... (answered by richwmiller)
Greg had some pens.2/5 of the pens were blue and 1/6 of the remainder were black.the rest (answered by josmiceli)