SOLUTION: Jon spent 1/3 of his allowance on baseball cards, 1/4 on baseball souvenirs and 3/8 on a baseball ticket. If he had $5 left, how much allowance did he start with? not sure how t

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Jon spent 1/3 of his allowance on baseball cards, 1/4 on baseball souvenirs and 3/8 on a baseball ticket. If he had $5 left, how much allowance did he start with? not sure how t      Log On


   



Question 936028: Jon spent 1/3 of his allowance on baseball cards, 1/4 on baseball souvenirs and 3/8 on a baseball ticket. If he had $5 left, how much allowance did he start with?
not sure how to approach this? Please help.

Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
let x be the total allowance Jon started with
allowance spent on baseball cards = (1/3)*x
allowance spent on base ball souvenirs = (1/4)*x
allowance spent on baseball ticekt = (3/8)*x
remaining allowance = total allowance - amount spent on baseball cards - amount spent on baseball souvenirs - amount spent on baseball ticket
=x-+%281%2F3%29x+-+%281%2F4%29x+-%283%2F8%29x+
= +x%2F1-x%2F3-x%2F4-3x%2F8
L.c.M of denominators ( 1,3,4,8 ) is 24
hence multiply each term with (24/24)
=
= +%2824x+-+x%2A8+-x%2A6-3x%2A3%29%2F24
=+%2824x-8x-6x-9x%29%2F24
=+x%2F24
but amount remaining is $ 5
hence +x%2F24++=+5
multiply with 24 on both sides
++%28x%2F24%29%2A+24+++=5%2A24+
+x=+120+
Result : Allowance he started with is $120