there are two sizes of red and blue marbles in a box. Of the big marbles in the box, 45 are red and 3/4 are blue. The fraction o
f small marbles that are red is 2/5 and the fraction of small marbles that are blue is 3/5. There are 24 more small blue marbles than small red marbles. What percentage of the marbles are big marbles?
Big marbles = 45red 3/4 blue Small marbles = 2/5 red 3/5 blue 24 more small blue mabrles than red marbles What percentage of the marbles are big marbles
First of all lets working out the missing values: Big Marbles, 45 red, 3/4 blue. If 45 red is 1/4, then 135 (45*3) is 3/4. Big Marbles, 45 red, 135 blue = 180 in total
For the small marbles, we do some logical thinking: If red is 2/5, and blue is 3/5. And blue has 24 more than red. That means 24 = 1/5 So in total there are 120 small marbles (24*5) There are 180 big marbles We add these together, 120 + 180 = 300 marbles 180 / 300 = 0.6 = 60% ^ Divide the big marbles by the number of total marbles
60% of the marbles are big marbles
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