in a jar , the total number of candy is 72 . if the ratio of the blue candys to the yellow candy is 4 : 5 . find the number of blue camdy and the yellow candy .
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The ratio of red to yellow candies is 2:5 --> R:Y = 2:5 = 18:45;
The ratio of red to green candies is 3:8 --> R:G = 3:8 = 18:48;
The ratio of yellow to blue candies is 9:2 --> Y:B = 9:2 = 45:10;
R:Y:G:B = 18:45:48:10.
The maximum combined number of red and blue candies is fewer than 85: R + B < 85 --> R + B = 18x + 10x < 85 --> 28x < 85 --> the maximum value of x is 3.
Max Y + G = 45x + 48x = 93x = 93*3 = 279.
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