SOLUTION: A book costs 4 times as much a pencil. A pen costs 1 1/2 times as much as the pencil. Find the ratio of the cost of the pen to the total of all the 3 items.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A book costs 4 times as much a pencil. A pen costs 1 1/2 times as much as the pencil. Find the ratio of the cost of the pen to the total of all the 3 items.      Log On


   



Question 1186107: A book costs 4 times as much a pencil. A pen costs 1 1/2 times as
much as the pencil. Find the ratio of the cost of the pen to the total of all the
3 items.

Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


To avoid fractions...
let 2x = cost of each pencil
then (3/2)(2x) = 3x = cost of each pen
and 4(2x)=8x = cost of a book

Cost of all three: 2x+3x+8x=13x

(pen):(all three) = 3x:13x = 3:13

ANSWER: 3:13


Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.

The ratio is  %284+%2B+1.5+%2B+1%29%2F1.5 = 6.5%2F1.5 = 13%2F3 = 13 : 3.    ANSWER

Solved.