together, lauren and aaron sold 456 raffle tickets. Lauren sold 24 more than aaron. How many did lauren sell?

Question

asnaseer · Answer

lets say aaron sold 'x' tickets.
then we know that lauren sold 'x+24'.
total number of tickets sold is 456, so we can say:

tickets sold by aaron + tickets sold by lauren = 456
x + 24 + x = 456

asnaseer · Answer

you should be able to solve from there...

anonymous · Answer

456 tickets / 2 people= 228

24 ticket difference / 2 people = 12

Lauren sold 228+12 = 240
Aaron sold 228-12   = 216

asnaseer · Answer

recall your previous problem, so we can simplify this to:

2x + 24 = 456

now take 24 away from both sides

asnaseer · Answer

can you do that step?

anonymous · Answer

2x+24-24=456-24 right?

asnaseer · Answer

correct, and this simplifies to:

2x = 432
so now divide both sides by 2...

anonymous · Answer

1= 216?!

asnaseer · Answer

x = 216 not 1 = 216 - nut I think you get the idea

asnaseer · Answer

*but

anonymous · Answer

then 216 + 24 right?!!

asnaseer · Answer

so now we know lauren sold x+24 = 216 +24 (as you said) - well done!

anonymous · Answer

yay! :)