Question #9de6c

2 Answers
May 17, 2017

You need to represent the number of males in terms of females.

Explanation:

Since you know the number of males relative to females, it makes sense to represent the number of females as a variable, let's say #f#.

So then the number of males is #f + 240# and we know that the number of males plus the number of females is 2500. Knowing this, we can write an equation: #f + (f + 240) = 2500#. I put the number of males in brackets there just to make it easy to recognize.

This equation can be condensed into #2f + 240 = 2500# and then solved:

#2f = 2500 - 240#
#f = (2500 - 240)/2#
#f = 1130#

Then, we know the number of females, and we can solve for the number of males from here using our male formula: #ma\l\es = f + 240#. You should then get 1370 as the number of males.

Checking this answer, we see that 1130 + 1370 does equal 2500.

May 17, 2017

i got: #1370# males and #1130# females.

Explanation:

Call the number of males #m# and females #f#.

You get:

#m+f=2500#

and

#m=f+240#

substitute the second into the first:

#f+240+f=2500#

#2f=2500-240#

#f=2260/2=1130#

so that:

#m=1130+240=1370#