12 blue marbles
24
The ratios are: red : green = 2 : 3 = (2×3) : (3×3) = 6 : 9 green : blue = 9 : 4 → ratio of red : green : blue = 6 : 9 : 4 There are 6 + 9 + 4 = 19 parts 76 marbles ÷ 19 parts = 4 marbles per part → red: 6 parts = 6 × 4 marbles per part = 24 red marbles → green: 9 parts = 9 × 4 marbles per part = 36 green marbles → blue: 4 parts = 4 × 4 marbles per part = 16 blue marbles To check: red + green + blue = 24 marbles + 36 marbles + 16 marbles = 76 marbles in the bag.
45 __ 91
The ratio tells us that for every 5 red marbles there are 4 blue ones. Now the total number is 225. Out of 9 total marbles, we know 4 are blue. So we can look at 4 blue/9 total= (x blues which we want to know)/ 225. This is not hard to solve by cross multiplication. 9x=4(225) or 9x=900 so x is 100 and there are 100 blue marbles. Now if that is so, we know the rest of the marbles must be red so there are 225-100=125 red ones. Let us check that this ratio is 5/4 as desired. Red/Blue=125/100 and 25 goes into 125 5 times and into 100 4 times so this becomes 5/4. How else would we do this problem. Since the ratio of 5/4, we know as we said above there are 4/9 blue marbles ( every 4 marbles out of 9 is blue). Now 4/9(225)=4x225/9=100.
12 blue marbles
12 blue marbles
24
24 red marbles
a bag contains 150 marbles some of the marbles are blue and the rest of the marbles are white in the bag there are 21 blue marbles for every 4 white marbles how many of each color marble blue and white are in the bag show or explain your thinking
This problem doesn't lead to a whole number solution. Are you sure you copied it correctly? Maybe you meant the ratio is 4 to 3. In that case: red/blue = 4/3 blue/red = 3/4 blue = (3 * red) / 4 = (3 * 16) / 4 = 12 blue marbles
The ratios are: red : green = 2 : 3 = (2×3) : (3×3) = 6 : 9 green : blue = 9 : 4 → ratio of red : green : blue = 6 : 9 : 4 There are 6 + 9 + 4 = 19 parts 76 marbles ÷ 19 parts = 4 marbles per part → red: 6 parts = 6 × 4 marbles per part = 24 red marbles → green: 9 parts = 9 × 4 marbles per part = 36 green marbles → blue: 4 parts = 4 × 4 marbles per part = 16 blue marbles To check: red + green + blue = 24 marbles + 36 marbles + 16 marbles = 76 marbles in the bag.
8:6
45 __ 91
There could be 12 white marbles and 16 red marbles
The ratio tells us that for every 5 red marbles there are 4 blue ones. Now the total number is 225. Out of 9 total marbles, we know 4 are blue. So we can look at 4 blue/9 total= (x blues which we want to know)/ 225. This is not hard to solve by cross multiplication. 9x=4(225) or 9x=900 so x is 100 and there are 100 blue marbles. Now if that is so, we know the rest of the marbles must be red so there are 225-100=125 red ones. Let us check that this ratio is 5/4 as desired. Red/Blue=125/100 and 25 goes into 125 5 times and into 100 4 times so this becomes 5/4. How else would we do this problem. Since the ratio of 5/4, we know as we said above there are 4/9 blue marbles ( every 4 marbles out of 9 is blue). Now 4/9(225)=4x225/9=100.
25 marbles = 7 blue + 4 green + 8 red + 6 yellow The ratio of blue to yellow marbles is 7:6