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A bakery sells 3 different types of cakes: chocolate, vanilla, and strawberry. The ratio of the number of chocolate cakes to vanilla cakes to strawberry cakes sold in a day is 2:3:4. If the bakery sold a total of 180 cakes in one day, how many vanilla cakes were sold?
Let's assume the number of chocolate cakes sold is 2x, the number of vanilla cakes sold is 3x, and the number of strawberry cakes sold is 4x. According to the problem, the total number of cakes sold is 2x + 3x + 4x = 180. Combining like terms, we get 9x = 180. Dividing both sides by 9, we find x = 20. Therefore, the number of vanilla cakes sold is 3x = 3 * 20 = 60. So, the bakery sold 60 vanilla cakes in one day.
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