class a folds 160 fewer paper cranes than class b and 2/3 as many paper cranes as classsc.class b folds 92 more paper cranes than class c. how many paper cranes does class b fold

Respuesta :

First, set up a system of equations:

a=b-160

a=2/3c

b=c+92

Then, pick a variable to solve for. I'll start with c.

So, we know that a=b-160 and b=c+92. That means the first equation could be written as a=(c+92)-160. Which simplifies to a=c-68, and a=2/3c, so really 2/3c=c-68. Simplify to 68=1/3c. to get rid of the fraction, multiply both sides by 3.

c=204.

Plug that into the other two equations,

a=2/3(204)

a=136

and

b=(204)+92

b=296