Question

A water tank is 1/8 full. the tank is 3/4 full when 42 gallons of water are added to the tank. how much water can the tank hold

Answer 1

Answer:

67.2 gallons

Step-by-step explanation:

Given: A water tank is $\frac{1}{8}$ full. the tank is $\frac{3}{4}$ full when $42$ gallons of water are added to the tank.

To Find: how much water can the tank hold.

Solution:

let total capacity of tank be $=\text{t}$

initially water in tank    $=\frac{1}{8}\text{t}$

amount of water added in tank $=42$ $\text{gallons}$

water in tank after more water is added $=\frac{3}{4}\text{t}$

now,

water added in tank $=(\text{water in tank after more water is added})-(\text{initial amount of water})$

                                  $\frac{3}{4}\text{t}-\frac{1}{8}\text{t}$

                                  $\frac{6}{8}-\frac{1}{8}$

                                  $\frac{5}{8}\text{t}$

water added in tank $=42$ $\text{gallons}$

              $\frac{5}{8}\text{t}=42$

              $\text{t}=\frac{42\times8}{5}$

              $\text{t}=67.2$ $\text{gallons}$

tank can hold $67.2$ $\text{gallons}$ of water

Answer 2

Let, the water capcity of tank = x

it would be x*3/4 = 42

x = 42*4 / 3 = 168/3 = 56

So, the tank can hold up to 56 gallons