if 3/5 of the class is males then 2/5 of the class is female, so the 8 more males is the 1/5 difference

(1/5)s = 8

**s = 40 students**

hopefully you can make sense of sentences with no punctuation or capitalization as i did good luck

Abhinav S.

asked • 08/17/20
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if 3/5 of the class is males then 2/5 of the class is female, so the 8 more males is the 1/5 difference

(1/5)s = 8

**s = 40 students**

hopefully you can make sense of sentences with no punctuation or capitalization as i did good luck

Hi Abhinav,

Let's translate the English into math . . .

Let X = the number of females

"there are 8 more males than females" means that the number of males = X + 8

So the total number of students = X + X + 8 = 2X + 8

"3/5 of the students are males" so (3/5) (2X + 8) = X + 8

Distribute the fraction over what's inside the parentheses: 6X/5 + 24/5 = X + 8

Subtract X from both sides and subtract 24/5 from both sides: 6X/5 - X = 8 - 24/5

Multiply X and 8 by 5/5 so everything has a common denominator: 6X/5 - 5X/5 = 40/5 - 24/5

Subtract the like terms: X/5 = 16/5

X = 16 = the number of females

16 + 8 = 24 = number of males

Total number of students = 16 + 24 = 40

Plug the numbers back into the original English to make sure they work.

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