The sum is of n and 14 can be written as:
n+14=72
77 unicorns, because yesterday the ratio was 6:5 and today it is 3:4. If you add the numbers for both ratios together, you get 11 and 7. Finding the LCM of these two gives 77 (because 7 and 11 are both prime).
You find the LCM of the sums because when you find values based on ratios, you divide value by the sum of the ratio.
e.g. I have 100 fruits. The ratio of apples to oranges is 2:3. How many apples are there?
To solve this you'd add 2 and 3 (5), divide 100 by 5 (20), multiply that by 2 (40) because that's the ratio of apples to oranges.
In this case, you do the reverse. So If I have 77 unicorns, then yesterday there were (77/11 = 7, 7*6= 42, 7*5= 35) 42 green unicorns and 35 yellow. The sum of 42 and 35 is 77. If you do this process with the other ratio you'll get similar results as well.
The number of words james can type in 6 minutes at the same rate is 360 words
Given:
Number of minutes to type 150 words = 2.5 minutes
let
number of words James can type in 6 minutes = x
Equate the ratio of the number of words to number of minutes
150 : 2.5 = x : 6
150/2.5 = x/6
cross product
150 × 6 = 2.5 × x
900 = 2.5x
x = 900/2.5
x = 360 words
Therefore, the number of words james can type in 6 minutes is 360 words
Learn more about ratio:
brainly.com/question/16981404
The answers is it’s shows a good example D