Question

The ratio of the number of A's in the class to B's in the class was 2:5. How many people got A's if there were 40 people who got B's?

Answer 1

`Total- no- of- students = 56\\A -students = Total- no- of- students - B-students\\A - students = 56 - 40\\A students = 16`Answer:

A Students = 16 students

Explanation:

`A :B\\2 :5\\ No- of -A -students =?\\No- of -B -students = 40\\2+5 =7\\(5)/(7) *x = 40\\(5x)/(7) =40\\Cross - multiply\\280 = 5x\\Divide-both-sides-of-the-equation -by 5\\\\(280)/(5) = (5x)/(5) \\x = 56`

Answer 2

16 students got an A

Explanation:

Set up an equation to compare the ratio to the scores:

`(2)/(5) = (x)/(40)`

Cross multiply:

80 = 5x

Divide each side by 5:

x = 16

Now, check if
`(16)/(40) = (2)/(5)`

16/8 = 2

40/8 = 5

The ratios are the same! Therefore, 16 students got an A!

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