SOLUTION: Logan and Izzy had the same number of stickers. After Izzy gave him 72 stickers, Logan had 3 times as many stickers as Izzy. How many stickers did they have altogether? I don'

Question 603080: Logan and Izzy had the same number of stickers. After Izzy gave him 72 stickers, Logan had 3 times as many stickers as Izzy. How many stickers did they have altogether?
I don't know how to do this.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Let the number of sticker each one initially had be x, and both together had 2x stickers.
After Izzy gives Logan 72 stickers,
Izzy has x-72 and
Logan has x+72.
They tell us that
x+72=3(x-72)
Multiplying (distributive property, we get the equivalent equation
x+72=3x-216
Adding 216 to both sides of the equal sign, we get
x+72+216=3x-216+216 --> x+288=3x
Subtracting x from both sides, we get
x+288-x=3x-x --> 288=2x
Logan and Izzy had initially had stickers between the two of them.

RELATED QUESTIONS
Logan and Izzy had the same number of stickers. After Izzy gave him 72 stickers,Logan had (answered by josgarithmetic)

Mr. Choo had some blue and red stickers at first. If he gives out 4 blue stickers and 5... (answered by ikleyn)

Stickers were sold only in big sheets of 60 stickers each and small sheets of 25 stickers (answered by ikleyn,math_tutor2020,greenestamps)

Hi After Jenny had given Melissa 16 stickers both had the same number of stickers. Linda (answered by josgarithmetic,ikleyn)

Blue stickers were sold in packet of 15 each. Green stickers were sold in packets of 40... (answered by Theo,MathTherapy)

A box of stickers was shared among four children. Faith and Ayan took {{{1/2}}} of the... (answered by greenestamps)

Danny had some stickers. He gave one-third of the stickers plus 1 sticker to his brother. (answered by macston)

Hi Howard had 40% more stickers than ivan .Howard gave away some stickers and the number (answered by greenestamps)

Hi A V and W had a total of 510 stickers. The ratio of A to V stickers was 6:7 at first. (answered by Theo,ikleyn)