A group of adults and students went on a class trip to Washington, DC. The number of male students was 1 more than 7 times the number of adults. The number of female students was half the number of male students. If the total number of people who went on the trip is 82, find the numbers of male students and female students.

- anonymous

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- CoconutJJ

Let the Number of Adults = X
Represent the number of male students in terms of x

- CoconutJJ

@mnc1021

- anonymous

i dont understand
@CoconutJJ

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## More answers

- CoconutJJ

"number of male students was 1 more than 7 times the number of adults" - How would you write this a expression.

- anonymous

7x+1 ?

- CoconutJJ

GOOD!

- CoconutJJ

"The number of female students was half the number of male students." - Now we have an expression for the number of male students, do the samething for female

- anonymous

is it 7x+1/2 ?

- CoconutJJ

YAY!

- CoconutJJ

"If the total number of people who went on the trip is 82"- We know the number of adults which is X and also have expressions for male and female... so what do we do now ?

- anonymous

this is where i am stuck, do i add them both together and them set it equal to 82?
i get stuck here

- CoconutJJ

YAY!

- anonymous

would the equation look like this: 7x+1+7x+1/2=82

- CoconutJJ

Where did the Adults go?

- anonymous

aren't they the x

- CoconutJJ

yes, but they're not aliens... they're human.. better add them to the equation

- anonymous

haahaha i don't know where to put the x though

- CoconutJJ

X+(1+7x)+(1+7x)/2

- CoconutJJ

TA DA!

- CoconutJJ

Can you solve for x given the other side is 82

- CoconutJJ

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- anonymous

ok lemme try solving that
i don't think idid it right, i got 7

- CoconutJJ

lemme check.

- CoconutJJ

YAY!

- CoconutJJ

There are 7 adults, however they ask the number of male and female students. We already have the 2 equations

- anonymous

so i plug 7 into each individual equation?

- CoconutJJ

YES!

- anonymous

ohh ok ok gotcha. thank you so much!!!!!!!

- anonymous

so the number of male students is 50, and female is 25

- anonymous

but that doesn't add up to 82, where did i go wrong here

- anonymous

@CoconutJJ

- CoconutJJ

You're treating adults as aliens again...

- anonymous

what do you mean?

- CoconutJJ

50+25+7 humans

- anonymous

oohhh ok ok thank you!!! ....again ahaha

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