Yesterday, Emma's Doughnut Shop sold 4/5 as many chocolate doughnuts as cinnamon doughnuts. If they sold 7/10 of a tray of cinnamon doughnuts, how many trays of chocolate doughnuts did they sell?Write your answer as a fraction or as a whole or mixed number.
Question
Yesterday, Emma's Doughnut Shop sold 4/5 as many chocolate doughnuts as cinnamon doughnuts. If they sold 7/10 of a tray of cinnamon doughnuts, how many trays of chocolate doughnuts did they sell?Write your answer as a fraction or as a whole or mixed number.
Solution
First, we need to understand that Emma's Doughnut Shop sold 4/5 as many chocolate doughnuts as cinnamon doughnuts. This means that for every tray of cinnamon doughnuts sold, 4/5 of a tray of chocolate doughnuts were sold.
We know that they sold 7/10 of a tray of cinnamon doughnuts. To find out how many trays of chocolate doughnuts they sold, we multiply the amount of cinnamon doughnuts sold by the ratio of chocolate to cinnamon doughnuts.
So, 7/10 (the amount of cinnamon doughnuts sold) * 4/5 (the ratio of chocolate to cinnamon doughnuts) = 28/50 = 14/25.
Therefore, Emma's Doughnut Shop sold 14/25 of a tray of chocolate doughnuts.
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