Examples with solutions for Ratio: Identifying and defining elements

Exercise #1

A tank fills with water at a rate of 20 liters every 5 minutes.
What is the flow rate of the water in liters per minute?

Step-by-Step Solution

The total volume of water that fills the tank is 20 20 liters over 5 5 minutes. The flow rate is given by the volume divided by time:
Flow Rate=Total VolumeTime=205=4 \text{Flow Rate} = \frac{\text{Total Volume}}{\text{Time}} = \frac{20}{5} = 4
Thus, the water flows at a rate of 4 4 liters per minute.

Answer

4 4 liters/minute

Exercise #2

On one tree, 8 oranges grow in 4 days.
What is the growth rate of the oranges?

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the total number of oranges that grow, which is 8.
  • Step 2: Note the total number of days in which the 8 oranges grow, which is 4 days.
  • Step 3: Apply the formula for the growth rate: Growth rate=Total number of orangesTotal number of days\text{Growth rate} = \frac{\text{Total number of oranges}}{\text{Total number of days}}.
  • Step 4: Calculate the growth rate by dividing 8 by 4.

Now, let's work through each step:
Step 1: The problem gives us a total of 8 oranges.
Step 2: These oranges grow over a period of 4 days.
Step 3: Using the formula, we find the growth rate: 84=2\frac{8}{4} = 2 oranges per day.

Therefore, the solution is that the growth rate is 2 oranges per day.

Answer

2 oranges per day