Question

: Karl prepared 12 liters of juice after working 2 hours. How much juice did Karl prepare if he worked for 5 hours? Solve using unit rates.

Answer 1

Karl prepared 30 liters in 5 hours

Explanation:

The total amount of juice Karl prepares per unit time can be expressed;

T=U×h

where;

T=total number of liters of juice prepared

U=number of liters prepared per unit time

h=number of working hours

In our case;

T=12 liters

U=U

h=2 hours

replacing;

12=U×2

2 U=12

U=12/2

U=6 liters per hour

The unit rate=6 liters per hour

Solving for 5 hours

Total quantity of juice prepared=Unit rate×number of hours worked

where;

Unit rate=6 liters per hour

Number of hours worked=5 hours

replacing;

Total quantity of juice prepared=(6×5)=30 liters

Karl prepared 30 liters in 5 hours