(3x-4y)^2=9x^2-24x+16y^2
(3x-2)(9x^2+6x+4)=27x^3-8
Let
x-------> bags of <span>popcorn
</span>y-------> bags of hotdogs
we know that
2.50x+3y=200-------> equation 1
x=2y--------> equation 2
substitute 2 in 1
2.50*[2y]+3y=200--------> 5y+3y=200------> 8y=200-----> y=200/8
y=25
x=2y-----> x=2*25-----> x=50
the answer is
50 bags of popcorn
25 bags of hotdogs<span />
Given that the two cone are similar, then
3/7 = x/5
7x = 15
x = 15/7