Final answer:
To find out how many trays of chocolate doughnuts were sold, first convert the mixed number to an improper fraction (9/8), then multiply by the number of cinnamon doughnut trays (3), resulting in 3(3/8) trays. Since trays are whole units, Mackenzie's Doughnut Shop sold 3 full trays of chocolate doughnuts.
Step-by-step explanation:
The subject of this question is Mathematics, specifically focusing on operations with fractions, which is typically taught in Middle School. To find out how many trays of chocolate doughnuts Mackenzie's Doughnut Shop sold, we use the fact that they sold 1(1/8) times as many chocolate doughnuts as cinnamon doughnuts. Given that 3 trays of cinnamon doughnuts were sold, we calculate the number of chocolate doughnut trays as follows:
- Convert the mixed fraction 1(1/8) into an improper fraction: 1(1/8) = (8/8 + 1/8) = 9/8.
- Multiply the number of cinnamon doughnut trays by this fraction to get the chocolate doughnut trays: 3 trays × (9/8) = 27/8 trays.
- Since it does not make practical sense to have a fraction of a tray, we will consider the whole number of trays sold. So, Mackenzie's Doughnut Shop sold 27/8, which is 3 whole trays with 3/8 of a tray left over. Since trays are whole units, they sold 3 full trays of chocolate doughnuts.
In practice, some shops might round up to the nearest whole tray or sell the remaining doughnuts loose.