Question

Richard has four times as marbles as john. If Richard gave John 18 marbles they would have the same amount. How many marbles has each?

Answer 1

let
john(j)+richard(r)=x
in first case,
j:r=1:4
j/r=1/4
4j=r --------------1
in second case,
j+18:r-18=1:1
j+18/r-18=1/1
j+18=r-18
j+36=r-------------2

substitute 1 into 2
j+36=4j
36=3j
j=12

from 1
4j=r
4(12)=r
r=48

so john has 12 marbles; while richard has 48 marbles

Answer 2

How does j/r become 1/4??

Answer 3

ratio (:) means divide

Answer 4

use ratio for long question so that u dont confuse which 1 is bigger ( like Richard has four times as marbles as john) so u may confuse is john bigger or richard... use : so that u know richard is bigger than john

Answer 5

RICHARD has FOUR times as marbles as john
so RICHARD:john=FOUR:one

Answer 6

got to go.. bye...

Answer 7

does ratio help with word problems?

Answer 8

oh ok thanks bye. :)