A wholesale dealer has oranges and apples in three sizes: small, medium and big. The numbers of small, medium and big size apples that he has are in the ratio 8 : 9 : 10 and the numbers of small, medium and big size oranges that he has are in the ratio 3 : 5 : 7. If the total number of apples that he has is twice the total number of oranges that he has, the numbers of medium oranges and medium apples are in the ratio _____.1 : 22 : 32 : 13 : 2
Question
A wholesale dealer has oranges and apples in three sizes: small, medium and big. The numbers of small, medium and big size apples that he has are in the ratio 8 : 9 : 10 and the numbers of small, medium and big size oranges that he has are in the ratio 3 : 5 : 7. If the total number of apples that he has is twice the total number of oranges that he has, the numbers of medium oranges and medium apples are in the ratio _____.1 : 22 : 32 : 13 : 2
Solution
The first step is to understand the ratios given. The ratio of small, medium, and big apples is 8:9:10, and the ratio of small, medium, and big oranges is 3:5:7.
The second step is to understand that the total number of apples is twice the total number of oranges. This means that the sum of the ratios for apples (8+9+10 = 27) is twice the sum of the ratios for oranges (3+5+7 = 15). This is consistent with the information given.
The third step is to find the ratio of medium oranges to medium apples. The number of medium oranges is represented by 5 in the ratio, and the number of medium apples is represented by 9 in the ratio.
However, since the total number of apples is twice the total number of oranges, we need to adjust the ratio of medium oranges to medium apples by multiplying the number of medium oranges by 2. This gives us a ratio of 5*2 : 9 = 10 : 9.
So, the ratio of medium oranges to medium apples is 10 : 9.
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