Question

if x:y = 5:2 and y:z = 3:2, what is the ratio of x:z ?
a) 3:1
b) 3:5
c) 5:3
d) 8:4
E) 15:4

Answer 1

i got 5:2...... yea.

Answer 2

good guess but not quite

Answer 3

an easy way to solve this is to pick numbers for x, y, and z

Answer 4

if

x : y = 5 : 2

we can let x = 10 and y = 4

Answer 5

so, if y = 4 and the ratio between y and z is

y: z = 3 : 2

what is z?

Answer 6

so you times it by two!? each number that is.
z is 4.

Answer 7

not quite

Answer 8

y: z = 3 : 2

means y = (3/2)z

Answer 9

so if y = 4, what is z?

Answer 10

3/2 = 1.5 = z?

Answer 11

not quite

Answer 12

4 = (3/2)z

what is z?

Answer 13

3/2 x 4/1 = 12/2 = 6...... but thad be 6z...
2/3 x 4/1 = 8/3 = 2.6666666667. grrr ill go with 6

Answer 14

good, we can just leave it at 8/3

Answer 15

now we can write our new ratio

Answer 16

x : z = 10 : 8/3

we can multiply both x and z by 3 to get

30 : 8

then we can divide both by 2 to get

15 : 4

Answer 17

so E is your answer

Answer 18

also, if you're wondering how I got x = 10 and y = 4

we could have used any x and y values that fit the ratio 5 : 2

Answer 19

so, we could have used


x = 5 and y = 2
or
x = 15 and y = 6, etc...

Answer 20

thanks! you helped a lot!