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jon spent 1/3 of his allowence 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 have to start with

Respuesta :

Diamori
1/3 = 12/36
1/4 = 9/36
3/8 = 12/36
Spent = 12/36 + 9/36 + 12/36
= 33/36.
This means that 3/36 is left, showing that 3/36 = $5.
1/36 = $5 / 3
= 1.66666667
36/36 = 1.66666667 * 36
= 60
He started with 60$

Hello! So here what they are saying basically is, Jon has an allowance that is 100% of some amount. We want to know this amount from the given data. Here’s a list of what we have


1/3 of x spent on cards

1/4 of x spent on souvenirs

3/8 of x spent on ticket

$5 leftover


So Jon used 1/3x+1/4x+3/8x+5=x by finding LCD or Lowest Common Denominator;


8/24x+6/24x+9/24x+5=24/24x

23/24x+5=x

5=1/24x

x=24*5

x=$120


Therefore Jon had $120 in allowance and he used;

$40 on cards

$30 on souvenirs

$45 on ticket

$5 leftover


Total = 40+30+45+5=120


Hope this helped out. Any questions please just ask. Thank you.


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