Divide 54 oranges in the ratio of [tex]$4^2$[/tex] between Teekay and Intel
Answer (1)
Calculate the ratio: 4 2 = 16 , so the ratio is 16:1.
Find the total parts: 16 + 1 = 17 .
Calculate Teekay's oranges: 17 54 × 16 = 17 864 .
Calculate Intel's oranges: 17 54 .
The number of oranges Teekay gets is 17 864 and the number of oranges Intel gets is 17 54 .
Explanation
Calculate the ratio We are asked to divide 54 oranges between Teekay and Intel in the ratio of 4 2 : 1 . First, we need to calculate 4 2 , which is 16. So, the ratio is 16:1.
Understanding the ratio This means that for every 16 oranges Teekay gets, Intel gets 1 orange. To find out how many oranges each person gets, we need to divide the total number of oranges (54) according to this ratio.
Find the total parts To do this, we first find the total parts in the ratio, which is 16 + 1 = 17 .
Calculate Teekay's oranges Now, we can find the number of oranges Teekay gets by multiplying the total number of oranges by Teekay's ratio divided by the total parts: Teekay’s oranges = 54 × 17 16 = 17 54 × 16 = 17 864 .
Calculate Intel's oranges Similarly, we can find the number of oranges Intel gets by multiplying the total number of oranges by Intel's ratio divided by the total parts: Intel’s oranges = 54 × 17 1 = 17 54 .
State the answer Since we can't have a fraction of an orange, it seems there might be an issue with the problem statement, as the number of oranges each person receives is not a whole number. However, based on the given information, Teekay gets 17 864 oranges and Intel gets 17 54 oranges.
Examples
Imagine you're baking a cake and the recipe calls for flour and sugar in a ratio of 16:1. If you have 54 total units of ingredients to use, this problem shows you how to divide those units correctly to maintain the recipe's intended flavor. Understanding ratios helps in many real-life situations, from cooking and mixing ingredients to distributing resources fairly.
