Question

On the number line above, a and b represent distances between numbers as shown. If the ratio of a to b is 1 to 6, what is the value of b?

(A) 42
(B) 48
(C) 54
(D) 60
(E) 66

Answer 1

^^ number line

Answer 2

please explain HOW!

Answer 3

so, a starts from 0 and ends to k
which means you can write a= k-0 = k
in same way, what u can write b as ??

Answer 4

k^2 - k

Answer 5

thats correct.
so, b= k^2-k
now ratio = a/b = 1/6

so u get
6a=b
now just put the values you got in terms of k.

Answer 6

OK sweet. Lemee tryyy

Answer 7

sure, take your time :)

Answer 8

k=7 ?

Answer 9

absolutely correct.
now u know how can u find b ??

Answer 10

OH NO

Answer 11

why no ?

Answer 12

hmm

Answer 13

K^2 - k?

Answer 14

hah

Answer 15

yup, put k=7 there...

Answer 16

nothing i misinterpreted something
so 42?

Answer 17

exactly.

Answer 18

YAY @hartnn thankyou!!! that was so much simpler than i made it out to be ^_^

Answer 19

welcome ^_^