Malik prepared 42 kilograms of dough after working 7 hours. How many hours did Malik work if he prepared 48 kilograms of dough? Solve using unit rates.

_ hours

1 answer

To find out how many hours Malik worked to prepare 48 kilograms of dough, we first need to determine his rate of dough preparation per hour.

Malik prepared 42 kilograms of dough in 7 hours, so we can calculate his rate (unit rate) as follows:

\[ \text{Rate} = \frac{\text{kilograms of dough}}{\text{hours}} = \frac{42 \text{ kg}}{7 \text{ hours}} = 6 \text{ kg/hour} \]

Now, we need to find out how many hours it takes for Malik to prepare 48 kilograms of dough. We can use the rate we just calculated:

\[ \text{Hours} = \frac{\text{kilograms of dough}}{\text{rate}} = \frac{48 \text{ kg}}{6 \text{ kg/hour}} = 8 \text{ hours} \]

Thus, Malik worked for 8 hours to prepare 48 kilograms of dough.