Final answer:
To find the percentage of cupcakes that must be sold for the number of cupcakes and muffins in the shop to be the same, we need to determine the ratios of cupcakes and muffins after the muffins are sold. If 60% of the muffins are sold, we are left with 40% of the muffins. Therefore, to have an equal number of cupcakes and muffins, we need to sell 36% of the cupcakes.
Step-by-step explanation:
To find out what percentage of the cupcakes must be sold for the number of cupcakes and muffins in the shop to be the same, we need to determine the ratios of cupcakes and muffins after the muffins are sold.
Since the ratio of cupcakes to muffins is 5:8, we know that if there are 5 cupcakes, there must be 8 muffins.
If 60% of the muffins are sold, then we are left with 40% of the muffins, which is equal to 8 imes 0.40 = 3.2 muffins.
So, in order for the number of cupcakes and muffins to be the same, we need to sell 5 - 3.2 = 1.8 cupcakes.
Therefore, we must sell 1.8 cupcakes out of 5 cupcakes in order for the number of cupcakes and muffins in the shop to be equal, which is equivalent to selling 36% of the cupcakes.
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