Question

The ratio of the number of student in mr. Moore’s class compared to the number of student in miss Henry’s class is 5:4. The ratio of the number students in miss Henry’s class compared to the number of students on mr. Wilson’s class is 8:9. What is the ratio of number of students in mr. Moore’s class to mr. Wilson’s class?

Answer 1

Answer:

10:9

Step-by-step explanation:

First ratio is 5:4. 4 is equal to Henry class

If you múltiply the ratio by 2 you get

10:8, This ratio can be compared because now Henry class has 8

2(5:4)

10:8

8:9

Meaning that the answer is 10:9

Answer 2

The require ratio of number of students in Mr. Moore's class to Mr. Wilson's class is 10:9

What is Ratio?

The ratio can be expression as how many times one number contain another number.

For example, If any bag contain 4 apples and 8 oranges then the ratio of apple to orange is 4:8 while the ratio of the orange to the apple is 8:2

How to find ratio?

Consider M denote the number student present in the Mr. Moore's class

similarly H denote the number of student in miss Henry's class and W denote the number of student present in Mr. Wilson's class

then we have given that

M : H = 5 : 4 or

$\frac{M}{H} = \frac{5}{4}$

Also we have H : W = 8 : 9

$\frac{H}{W} = \frac{8}{9}$

Now multiply these two equations we have

$\frac{M}{H}\times \frac{H}{W}=\frac{5}{4}\times\frac{8}{9}$

$\frac{M}{W}= \frac{10}{9}$

The ratio of number of student in Mr. Moore's class to Mr. Wilson's class is 10:9

This is the conclusion to the answer.

Learn more about ratio here-

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