Some reindeer prefer eating carrots, while others prefer apple. If the ratio of carrot eaters to apple eaters is 30:420, determine the number of reindeer that prefer carrots If 517 prefer apples.

37

Step-by-step explanation:

We start by reducing the ratio to its smallest value. This is the same as 1:14

We know from the question that the number of apple eater takes the 14 ratio part. We can make the calculations for the total number first then make a subtraction to get the number of apple eaters.

Firstly, we add the ratios together:

1 + 14 = 15

Let the total number of reindeers be T

14/15 * T = 517

T = (15 * 517) / 14 = 554

To get the the number of apple loving Reindeers, we then subtract.

This is 554 - 517 = 37