Which of the following is equivalent to the proportion 2/3 = 3/y?
A. 3y = (2)(3)
B. 2y = (2)(3)
C. 2y = (3)(3)
D. 3y = (3)(3)

Question

Which of the following is equivalent to the proportion 2/3 = 3/y? 
	A.	3y = (2)(3)
	B.	2y = (2)(3)
	C.	2y = (3)(3)
	D.	3y = (3)(3)

anonymous · Answer

By cross multiplication, 2y = (3)(3) so
C

anonymous · Answer

Thanks!

anonymous · Answer

@s6cppr Do you mind helping me with a few more similar problems?

anonymous · Answer

If it seems vague then:
2/3 = 3/y
multiply 3 both sides to cancel 3 on the left so
3*(2/3) = 2
2= 3*(3/y)
2 = 9/y
multiply by y again to simplify right hand side
so 
2y = 9 or (3)(3)

anonymous · Answer

sure

anonymous · Answer

Which of the following is equivalent to the proportion 
3/4 =x/12? 
a. 4/3 =x/12
b. 3/4 = 12/x
c. 4/3=x/12
d. 4/12=x/3

anonymous · Answer

cross multiply to get
36 = 4x
which is 9.
Apparently, 3/4 x (3/3) = 9/12
so:
B
as 3/4 x (4/4) = 12/16
3/3 = 4/4 = 1

anonymous · Answer

@s6cppr Alright, got it. Thanks again for all your help :)

anonymous · Answer

np