To find out how many hours Zachary worked to prepare 48 kilograms of dough using unit rates, we first find out how much dough he prepared per hour.
Zachary prepared 32 kilograms of dough in 4 hours. To find the unit rate in kilograms per hour, we divide the total kilograms by the total hours:
\[ \text{Unit rate} = \frac{32 \text{ kg}}{4 \text{ hours}} = 8 \text{ kg/hour} \]
Now we know that Zachary can prepare 8 kilograms of dough in 1 hour. Next, we want to find out how many hours it takes him to prepare 48 kilograms of dough. We can set this up using the unit rate:
\[ \text{Hours} = \frac{\text{Total kilograms}}{\text{Unit rate}} = \frac{48 \text{ kg}}{8 \text{ kg/hour}} = 6 \text{ hours} \]
Thus, Zachary worked for 6 hours to prepare 48 kilograms of dough.
The answer is: 6 hours.
1 answer