there are 785 students in the senior class. if there are 77 more females in the class than males, how many male and female seniors are there in the class?
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OpenStudy (therealmeeeee):
let me see
OpenStudy (johnweldon1993):
This is a quick substitution problem...
785 students in all...male and female....so
m + f = 785
There are 77 more females...so we have
f = m + 77
Now that we know what 'f' equals...we can substitute this into the original problem...
m + f = 785
becomes
m + (m + 77) = 785
can you solve this from here?
OpenStudy (therealmeeeee):
f + m = 785 m = 77 + f
OpenStudy (therealmeeeee):
subsstitue and solve with the above equations
OpenStudy (therealmeeeee):
77+ f + f = 785 77 + 2f = 785 2f = 708 f = 354
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OpenStudy (therealmeeeee):
m = 77 + 354 m = 431
OpenStudy (therealmeeeee):
check 431 + 354 = 785 :)
OpenStudy (therealmeeeee):
and there u go do u understand now
OpenStudy (johnweldon1993):
But...as you can see....there are more FEMALES in the class...so there cannot be 431 males and 354 females....it would be switched...
OpenStudy (therealmeeeee):
yup
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