Question 1167995
let x equal the money she had before she left.


she spent 3/5 * x on gas.


this means she had 2/5 * x left


she spent 1/2 of that on lunch.


this means she spent 1/2 * 2/5 * x  = 2/10 * x = 1/5 * x on lunch


lunch cost 250, therefore 1/5 * x = 250.


your equation to solve is 1/5 * x = 250


multiply both sides of that equation by 5 to get:


1/5 * 5 * x = 5 * 250


simplify to get x = 1250


that's what she had before she left.


she had 1250 before she left.


she spent 3/5 of that on gas.


she spent 3/5 * 1250 = 750 on gas.


this means she had 1250 - 750 = 500 left.


she spent half of that on lunch.


this means she spent 250 on lunch.


the numbers check out.


your solution is that she had 1250 before she left on her trip.