## agbyoung 3 years ago Write an equation for the problem and solve. There are 17 2/3 gallons of water in the tank. The tank is 3/4 full. How many gallons of water, G, can the tank hold? My answer was G= 13 1/4. I did the inverse and got 17 2/3 gallons back that's correct.. But why is it that the tank holds less the the amount currently in it... Where did I go wrong.

1. Mertsj

3/4x=17 2/3

2. agbyoung

Mertsj, I am trying to figure out where did I go wrong finding G or in your case X

3. Mertsj

$x=\frac{53}{3}\times\frac{4}{3}=\frac{212}{9}$

4. Mertsj

What equation did you write?

5. Mertsj

The thought process is; 3/4 of a full tank is 17 2/3

6. agbyoung

$\alpha \times 3/4=$

7. agbyoung

METSj Thanks!!

8. Mertsj

yw

The amount the tank can hold should have been 23.55. $(3/4) t = 17.66$ $(1/4) t = (17.66)/4$ $t = 17.666 *(4/3)$ $t = 17.55$