The ratio of apples to pears to oranges at a fruit stall was 4 : 9 : 6. When 6 pears were sold, the new ratio became 2 : 4 : 3. How many fruits were there left?
Question
The ratio of apples to pears to oranges at a fruit stall was 4 : 9 : 6. When 6 pears were sold, the new ratio became 2 : 4 : 3. How many fruits were there left?
Solution
To solve this problem, we need to follow these steps:
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First, we need to understand that the change in the ratio is due to the sale of the pears. The ratio of apples to pears changed from 4:9 to 2:4, which is the same as 4:8 when simplified. This means that 1 part in the ratio represents the 6 pears that were sold.
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Now, we can calculate the total number of fruits before the sale. The initial ratio was 4:9:6, which adds up to 19 parts. Since we know that 1 part is equal to 6 fruits (from step 1), the total number of fruits initially is 19 parts * 6 fruits/part = 114 fruits.
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After the sale of 6 pears, the total number of fruits left is 114 fruits - 6 fruits = 108 fruits.
So, there were 108 fruits left at the fruit stall.
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