in a school the ratio of number of large classroom two small classroom is 4 ratio 5 if the number of small rooms is 20 then what is the number of large rooms what is the total number of rooms what is the ratio of small rooms to the number of classrooms
Answers
Answer:
The total number of classrooms are 36 and the larger number of classrooms are 16 and the ratio of number of large classroom to small classroom is 4 ratio 5 .
Step-by-step explanation:
As given
In a school the ratio of number of large classroom to small classroom is 4 ratio 5 if the number of small rooms is 20 .
Let us assume that x be the scalar multiple of the larger to smaller room ratio .
Number of larger classrooms = 4x
Number of smaller classrooms = 5x
Thus
Equation becomes
5x = 20
x = 4
Number of larger classrooms = 4x
= 4 × 4
= 16
Thus
Total number of class rooms = Number of larger classrooms + Number of smaller classrooms
Put all the values in the above
Total number of class rooms = 20+ 16
= 36
Therefore the total number of classrooms are 36 and the larger number of classrooms are 16 and the ratio of number of large classroom to small classroom is 4 ratio 5 .