In a bag of 39 sweets, for every mint, there are 3 toffees and for every toffee, there are 3 fruit. How many toffees are in the bag?
Question
In a bag of 39 sweets, for every mint, there are 3 toffees and for every toffee, there are 3 fruit. How many toffees are in the bag?
Solution
Let's break this down:
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Let's assume the number of mints is x. According to the problem, for every mint, there are 3 toffees. So, the number of toffees is 3x.
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The problem also states that for every toffee, there are 3 fruits. Since the number of toffees is 3x, the number of fruits is 3 * 3x = 9x.
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The total number of sweets is the sum of the mints, toffees, and fruits, which is x + 3x + 9x = 13x.
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We know from the problem that the total number of sweets is 39. So, we can set up the equation 13x = 39.
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Solving for x gives us x = 39 / 13 = 3. So, there are 3 mints in the bag.
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Since the number of toffees is 3 times the number of mints, there are 3 * 3 = 9 toffees in the bag.
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