Logan and Izzy has the same number of stickers. After Izzy gave him 72 stockers, Logan had 3 times as many stickers as Izzy. How many stickers did they have altogether

Respuesta :

Answer:

There are 288 stickers they have altogether.

Step-by-step explanation:

Solution,

Let equal number of stickers both Logan and Izzy have be x.

After giving 72 stickers to Logan,

Number of stickers Izzy has = [tex]x-72[/tex]

After receiving 72 stickers,

Number of stickers Logan has = [tex]x+72[/tex]

Now according to question,After receiving 72 stickers Logan had 3 times more stickers than Izzy.

Therefore the equation is;

[tex]3\times(x-72)=x+72\\3x-216=x+72\\3x-x=72+216\\2x=288\\\\x=\frac{288}{2}=144[/tex]

So the number of stickers both Izzy and Logan have is 144.

Total number of stickers they have altogether is the sum stickers each has.

Total number of stickers = [tex]144+144=288[/tex]

Hence there are 288 stickers they have altogether.