Question

yesterday, kates doughnut shop sold 1/3 as many chocolate doughnuts as cinnamon doughnuts. if they sold 10 trays 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. trays

Explanation:

Step1: Identify the relationship

The number of chocolate doughnut trays is $\frac{1}{3}$ of the cinnamon doughnut trays.

Step2: Multiply the fraction by the whole number

We know the number of cinnamon doughnut trays is 10. So we calculate $\frac{1}{3} \times 10$.
$\frac{1}{3} \times 10 = \frac{10}{3}$ or $3\frac{1}{3}$? Wait, no, wait. Wait, $\frac{1}{3}$ of 10 is $\frac{1\times10}{3}=\frac{10}{3}$? Wait, no, wait, 10 times 1/3 is 10/3? Wait, no, 10 divided by 3 is 3 with a remainder of 1, so 10/3 is $3\frac{1}{3}$? Wait, no, wait, the problem says "1/3 as many chocolate doughnuts as cinnamon doughnuts". So chocolate = (1/3)cinnamon. Cinnamon is 10, so chocolate = (1/3)10 = 10/3? Wait, 10 times 1 is 10, over 3. So 10/3 is $3\frac{1}{3}$? Wait, no, 10 divided by 3 is 3.333..., which is 10/3 or $3\frac{1}{3}$. Wait, but let's check again. The problem says "1/3 as many chocolate doughnuts as cinnamon doughnuts". So if cinnamon is 10, then chocolate is 10(1/3) = 10/3 = $3\frac{1}{3}$? Wait, no, wait, maybe I made a mistake. Wait, 1/3 of 10 is 10/3, which is $3\frac{1}{3}$. But let's confirm. So the calculation is: number of chocolate trays = (1/3) number of cinnamon trays. Number of cinnamon trays is 10. So (1/3)10 = 10/3 = $3\frac{1}{3}$? Wait, no, 10 times 1/3 is 10/3, which is approximately 3.333..., but as a fraction, it's 10/3 or $3\frac{1}{3}$. Wait, but maybe the problem expects an improper fraction or a mixed number. Let's do the multiplication again. 1/3 10 = (1*10)/3 = 10/3 = $3\frac{1}{3}$. So that's the number of chocolate doughnut trays.

Answer:

$\frac{10}{3}$ (or $3\frac{1}{3}$)