Question 1054351
let r = the amount that romeo gets.
let j = the amount that juliet gets.
let f = the amount that frank gets.


the ratio between romeo and juliet is r/j.


the ratio between juliet and frank is j/f.


these ratios are equal, so you get r/j = j/f.


if you want to find what juliet gets, you need to solve this equation for j.


multiply both sides of the equation by j and multiply both sides of the equation by f to get r * f = j * j


simplify to get r * f = j^2


solve for j to get j = plus or minus sqrt(r * f).


minus doesn't makes sense, so stick to j = plus sqrt (r * f).


since r = 250 and f = 360, this equation becomes j = sqrt (250 * 360).


solve for j to get j = 300.


that's your solution.


you now have the original ratios as 250/300 = 300/360.


simplify these fractions to get 5/6 = 5/6.


the ratios are the same.


the solution looks good.


the solution is that juliet gets 300.