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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72 and 36 both are divisible by 2. so when we divide them by two we get 36 and 23. we can divide both the sides only with the same number, but 36 and 23 have no common factors. so we leave it here and this is the answer.