Divide 54 oranges in the ratio of [tex]$4:2$[/tex] between Teekay and ?
Answer (1)
Let the number of oranges Teekay gets be 4 x and the number of oranges the other person gets be 2 x .
Set up the equation 4 x + 2 x = 54 .
Solve for x : x = 6 54 = 9 .
Calculate the number of oranges each person gets: Teekay gets 4 × 9 = 36 oranges, and the other person gets 2 × 9 = 18 oranges. The final answer is 36 and 18 .
Explanation
Understanding the Problem We need to divide 54 oranges between Teekay and another person in the ratio of 4:2. This means that for every 4 oranges Teekay gets, the other person gets 2 oranges. Let's find out how many oranges each person receives.
Setting up the Equation Let the number of oranges Teekay gets be 4 x and the number of oranges the other person gets be 2 x . The total number of oranges is 54, so we can write the equation: 4 x + 2 x = 54
Simplifying the Equation Combine the terms on the left side of the equation: 6 x = 54
Solving for x Now, solve for x by dividing both sides of the equation by 6: x = 6 54 = 9
Calculating the Number of Oranges for Each Person Now that we have the value of x , we can find the number of oranges each person gets. Teekay gets 4 x oranges: 4 x = 4 × 9 = 36 The other person gets 2 x oranges: 2 x = 2 × 9 = 18
Final Answer So, Teekay gets 36 oranges and the other person gets 18 oranges.
Examples
Imagine you are distributing flyers in a neighborhood. If you need to divide 54 flyers between two streets in a 4:2 ratio, you would give 36 flyers to one street and 18 flyers to the other. This ensures the distribution is proportional to the ratio, maintaining fairness and coverage. Understanding ratios helps in resource allocation, fair distribution, and proportional representation in various real-life scenarios.
